Let's break it down: the bus started with ( x ) passengers. After the first stop, the number of passengers became ( x + x - 3 = 2x - 3 ). At the next stop, 8 more passengers got on, resulting in ( 2x - 3 + 8 = 2x + 5 ). Setting this equal to the final number of passengers, which is 37, we get the equation ( 2x + 5 = 37 ). Solving for ( x ), we find ( 2x = 32 ), leading to ( x = 16 ). Thus, the bus started with 16 passengers.
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