If the world’s biggest ridesharing companies hope to get a statewide regulatory framework approved in Texas, they’ll need votes from rural legislators. That’s why a concerted effort is underway in the halls of the Texas Capitol by backers of statewide ridesharing rules to argue why such a scheme would make it easier for companies such as Uber Technologies Inc. and Lyft Inc. to expand to the state’s smaller communities.

Rep. Chris Paddie this week introduced House Bill 100— if approved, it would…