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Simplifying 25 + 10(12 + -1x) = 5(2x + -7) 25 + (12 * 10 + -1x * 10) = 5(2x + -7) 25 + (120 + -10x) = 5(2x + -7) Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7) Reorder the terms: 145 + -10x = 5(-7 + 2x) 145 + -10x = (-7 * 5 + 2x * 5) 145 + -10x = (-35 + 10x) Solving 145 + -10x = -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. 145 + -10x + -10x = -35 + 10x + -10x Combine like terms: -10x + -10x = -20x 145 + -20x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35 Add '-145' to each side of the equation. 145 + -145 + -20x = -35 + -145 Combine like terms: 145 + -145 = 0 0 + -20x = -35 + -145 -20x = -35 + -145 Combine like terms: -35 + -145 = -180 -20x = -180 Divide each side by '-20'. x = 9 Simplifying x = 9
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