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Republican presidential candidate Donald Trump speaks in Orlando, Florida, March 5, 2016. Joe Raedle/Getty Images

UPDATE: 10:55 p.m. EDT – Ted Cruz urged voters to send his conservative platform to the White House and stop Donald Trump. Cruz said in a speech Tuesday night that he is the only rival who can beat Trump.

“We will take the boot of the federal government off the backs of the necks of small businesses all across this country,” Cruz said.

UPDATE: 10:01 p.m. EDT – Donald Trump called on Republicans to come together and support voters who have turned out in high numbers this primary season to support him. During a victory speech in Florida where his standard showmanship seemed muted, Trump thanked supporters and lamented that Congress can't get along.

Trump also acknowledged his children. “I want to thank Barron for the fact that I never see him anymore. And it’s his birthday on Sunday,” Trump said. He predicted his daughter Ivanka was about to go into labor.

UPDATE: 9:10 p.m. EDT – Ohio Gov. John Kasich said he is not leaving any voters behind as he continues his campaign for the White House. He gave a victory speech Tuesday night after winning his home state as the crowd chanted: "U-S-A! U-S-A!"

“You better believe it’s about America, about pulling us together, not pulling us apart. It is about USA. Exactly,” he said.

He said support from Ohioans has nearly brought him to tears. He said he was eager to help Americans change and "heal" the world. "It's been my intention to make you proud. I want to remind you that I will not take the low road to the highest office in the land," he said.

UPDATE: 9:10 p.m. EDT – The next president of the United States must engage allies and defeat adversaries, “not embarrass us,” Hillary Clinton said in a victory speech Tuesday night that took aim at Republican front-runner Donald Trump.

"This may be one of the most consequential campaigns of our lifetimes," Clinton said. “When he embraces torture, that doesn’t make him strong, that makes him wrong.”

Clinton urged Americans to “not be small.”

“This isn’t just about Donald Trump,” she said, calling on Americans to tackle discrimination and inequalities. She highlighted the need to protect LGBT rights and rights for those with disabilities.

"You know, running for president is hard, but being president is harder," she said. "If we work together, we can make a real difference in people's lives."

UPDATE: 8:43 p.m. EDT – U.S. Sen. Marco Rubio dropped out of the presidential race Tuesday night after urging Americans to turn away from the “politics of resentment.” Rubio’s announcement came soon after he lost the GOP primary in his home state of Florida to Republican front-runner Donald Trump.

“From a political standpoint, the easiest thing to have done in this campaign, is to jump on all of those anxieties I just talked about. To make people angrier, to make people more frustrated,” he said in Miami. “But that is not what’s best for America. The politics of resentment ... are going to leave us a fractured nation ... where people literally hate each other.”

Original story:

For Democrat Hillary Clinton and Republican Donald Trump, Tuesday was expected to be the night both candidates cement their standing as their parties' likely nominees. Their rivals, Republicans Ted Cruz, Marco Rubio and John Kasich and Democrat Bernie Sanders, were looking for some wins to keep their hopes alive.

With election returns starting to come in at 7 p.m. EDT, candidates will soon start giving their victory or concession speeches. Come back here for live updates on the speeches throughout the night. ABC News, Yahoo! Politics and C-SPAN 1 will live-stream primary results coverage. Voters are casting ballots in Florida, Illinois, Missouri, North Carolina and Ohio. The Mariana Islands territory also held a closed caucus.

Trump is set to address supporters from Mar-a-Lago, the 115-room Palm Beach, Florida, mansion he purchased in 1985 for about $15 million, at 9 p.m. EDT.

Exit polls in Ohio and North Carolina showed Republican voters said they feel betrayed by their party. Roughly 54 percent of North Carolina GOP voters said they preferred someone without political experience. In Ohio, 50 percent said they preferred a candidate with a non-government background.

Democratic primary voters were torn over supporting the opposite candidate if their choice is not the eventual nominee, according to NBC News' exit polling. Roughly 50 percent of Clinton voters said they would be satisfied with Sanders, while 51 percent of Sanders fans said they would be dissatisfied with Clinton. Heading into Tuesday, Clinton had 214 more pledged delegates than Sanders. Among superdelegates, party insiders who can support any candidate they wish, Sanders has just 580 delegates to Clinton's 1,235.

Pundits predicted Rubio would be forced to drop out if he did not win his home state of Florida against Trump. But recent polls show Rubio behind Trump by 24 points in Florida.