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Simplifying 15.50x + 6.75(1500 + -1x) = 16250 15.50x + (1500 * 6.75 + -1x * 6.75) = 16250 15.50x + (10125 + -6.75x) = 16250 Reorder the terms: 10125 + 15.50x + -6.75x = 16250 Combine like terms: 15.50x + -6.75x = 8.75x 10125 + 8.75x = 16250 Solving 10125 + 8.75x = 16250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10125' to each side of the equation. 10125 + -10125 + 8.75x = 16250 + -10125 Combine like terms: 10125 + -10125 = 0 0 + 8.75x = 16250 + -10125 8.75x = 16250 + -10125 Combine like terms: 16250 + -10125 = 6125 8.75x = 6125 Divide each side by '8.75'. x = 700 Simplifying x = 700
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