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Simplifying 25x + 50(30 + -1x) = 1200 25x + (30 * 50 + -1x * 50) = 1200 25x + (1500 + -50x) = 1200 Reorder the terms: 1500 + 25x + -50x = 1200 Combine like terms: 25x + -50x = -25x 1500 + -25x = 1200 Solving 1500 + -25x = 1200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -25x = 1200 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -25x = 1200 + -1500 -25x = 1200 + -1500 Combine like terms: 1200 + -1500 = -300 -25x = -300 Divide each side by '-25'. x = 12 Simplifying x = 12
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