The legislation, expected to come to a vote next week, would make changes that could eventually affect health care costs but are unlikely to immediately curb rising premiums.
The speaker has repeatedly lost his grip on the House floor thanks to a once rare parliamentary maneuver that G.O.P. members are increasingly using to force action on legislation.
Republicans hold an overwhelming majority in the Indiana Senate, but more than a dozen of them defied the president’s wishes, voting against a map aimed at adding Republicans in Congress.
The legislation codifies President Trump’s agenda but includes a few measures challenging his policies and insisting on more consultation with Congress.
Republicans redid their voting map so they could flip five seats to help keep control of the U.S. House. But achieving that goal is far from guaranteed.
Downtown Seguin in Texas’ 35th Congressional District, part of the new voting map that state lawmakers adopted. The district is expected to be closely contested in next year’s midterms.