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Simplifying 25 + 20(12 + -1x) = 5(2x + -7) 25 + (12 * 20 + -1x * 20) = 5(2x + -7) 25 + (240 + -20x) = 5(2x + -7) Combine like terms: 25 + 240 = 265 265 + -20x = 5(2x + -7) Reorder the terms: 265 + -20x = 5(-7 + 2x) 265 + -20x = (-7 * 5 + 2x * 5) 265 + -20x = (-35 + 10x) Solving 265 + -20x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 265 + -20x + -10x = -35 + 10x + -10x Combine like terms: -20x + -10x = -30x 265 + -30x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 265 + -30x = -35 + 0 265 + -30x = -35 Add '-265' to each side of the equation. 265 + -265 + -30x = -35 + -265 Combine like terms: 265 + -265 = 0 0 + -30x = -35 + -265 -30x = -35 + -265 Combine like terms: -35 + -265 = -300 -30x = -300 Divide each side by '-30'. x = 10 Simplifying x = 10
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