Democrats’ chances would be hurt if the map were approved, but they would still be favored.

The proposed map would give Republicans a chance to gain five U.S. House seats, including in Houston, Dallas and along the U.S.-Mexican border.

Democrats’ chances would be hurt if the map were approved, but they would still be favored.

The full Texas House will now vote next week on a map drawn to flip five House districts to the G.O.P., but Democrats might walk out to deny Republicans a quorum.