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Brewster County is a county located in the U.S. state of Texas. It is in West Texas and its county seat is Alpine. It is one of the nine counties that comprise the Trans-Pecos region, and borders Mexico. Brewster County is the largest county by area in the state - at 6,192 square miles (16,040 km2) it is over three times the size of the state of Delaware, and more than 500 square miles (1,300 km2) bigger than Connecticut.