Watch a video replay of the 3rd presidential debate between Donald Trump & Hillary Clinton

LAS VEGAS -- Hillary Clinton and Donald Trump are striking a more sober tone Wednesday after two brutal debates, largely sticking to substance and keeping personal slights to a minimum during their final face-to-face showdown.

The presidential debate in Las Vegas began on a frosty note as the candidates once again abandoned the tradition of shaking each other's hands at the outset. And there were moments of serious clashes, including over Trump's history with women, his relationship with Russian President Vladimir Putin and the Republican nominee's immigration positions.

"We have some bad hombres here and we're gonna get them out," Trump said.

But overall, the first 30 minutes of the debate were dominated with exchanges over substantive policy issues harkening back to previous election cycles that lacked the drama and bitter personal battles of 2016. Clinton and Trump had a serious exchange, for instance, about the Supreme Court and gun rights.

Clinton said the court should "stand on the side of the American people, not on the side of powerful corporations and the wealthy."

Trump said that the Supreme Court is "what it is all about" and rebuked liberal Justice Ruth Bader Ginsburg for recent remarks in which she criticized him, before apologizing. He warned that if Clinton was President, she would gut Americans' Second Amendment right to bear arms.

Who won the debate? Vote here.

"If my opponent should win this race, which I don't think will happen," Trump said, the Second Amendment will be a "small replica of what we have now."

Clinton denied that she opposes the Second Amendment but called for firearms legislation that included comprehensive background checks, and efforts to close the so-called gunshow loophole.

The candidates also clashed over abortion rights with Clinton insisting she would defend Planned Parenthood and the Supreme Court's Roe v. Wade decision.

"I will defend women's rights to make their own health care decisions," Clinton said, bringing up a previous remark by Trump when he said that women should be punished for getting an abortion.

Trump hit back, saying she would allow late-term abortions.

"You can take the baby and rip the baby out of the womb in the ninth month," Trump said.

Clinton accused Trump of adopting "scare rhetoric" on the issue.