Updated

House Republicans advanced legislation Tuesday to dismantle President Obama's health law that could actually reach the president's desk.

The House GOP has voted more than 50 times to repeal all or parts of the health law. Almost all the bills died in the Senate.

But this time, Republicans are using a special process that prevents Senate Democrats from blocking the legislation. Obama can still veto it, but the vote could provide a blueprint for dismantling the law if Republicans retake the White House in 2016.

Under Senate rules, minority Democrats can block most legislation because it requires 60 votes to advance a bill, and Republicans have only 54 senators. Under the special process, called reconciliation, the Senate can pass legislation with just 51 votes.

Reconciliation is limited to certain tax and spending measures, so Republicans can't use it to repeal the entire health law. But they can gut it.

Republicans say they are working to repeal the most unpopular parts of the law, which was enacted in 2010 without a single Republican vote.

Democrats note that official congressional estimates say that gutting the law will result in 15 million fewer people with health insurance by 2025.

"We're going to repeal the five worst parts of the law: two mandates, two taxes and one board of bureaucrats," said Rep. Paul Ryan, R-Wis., chairman of the House Ways and Means Committee.

Ryan said he would like to repeal the entire law. But added, "This is our best shot at getting a bill on the president's desk."

The Ways and Means Committee voted along party lines Tuesday to repeal two mandates -- that most Americans get health insurance and that large companies provide health benefits to workers.

The legislation would repeal a tax on higher-priced health plans and a tax on medical devices.

The vote was 23-14, with all Republicans in favor and all Democrats opposed.

"Today's markup is not a serious exercise in legislating," said Rep. Sander Levin of Michigan, the top Democrat on the Ways and Means Committee. "Everyone knows the president won't sign this reconciliation bill."

"That may be one of the motivations for this bill -- pure politics to send a bill to the president that he is sure to veto and be upheld," Levin added.

Two other House committees are working on legislation to repeal other parts of the health law, as well as to cut off federal funding for Planned Parenthood.

Eventually, the legislation would be combined and sent to the full House.