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Simplifying 25x + 50(65 + -1x) = 2075 25x + (65 * 50 + -1x * 50) = 2075 25x + (3250 + -50x) = 2075 Reorder the terms: 3250 + 25x + -50x = 2075 Combine like terms: 25x + -50x = -25x 3250 + -25x = 2075 Solving 3250 + -25x = 2075 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3250' to each side of the equation. 3250 + -3250 + -25x = 2075 + -3250 Combine like terms: 3250 + -3250 = 0 0 + -25x = 2075 + -3250 -25x = 2075 + -3250 Combine like terms: 2075 + -3250 = -1175 -25x = -1175 Divide each side by '-25'. x = 47 Simplifying x = 47
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