Can one state suspend a driver's license issued in another state, due to a breathalyzer test being refused?

Question Details:

I have an employee who was visiting family in LA when he was pulled over for suspicion of DUI. He is a TX licensed resident. He refused a breathalyzer test which is an automatic suspension of privileges in LA. Can LA revoke or suspend his TX driver's license? Do the 2 states reciprocate?

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