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Simplifying -12(x + -8) = 3(x + 7) Reorder the terms: -12(-8 + x) = 3(x + 7) (-8 * -12 + x * -12) = 3(x + 7) (96 + -12x) = 3(x + 7) Reorder the terms: 96 + -12x = 3(7 + x) 96 + -12x = (7 * 3 + x * 3) 96 + -12x = (21 + 3x) Solving 96 + -12x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 96 + -12x + -3x = 21 + 3x + -3x Combine like terms: -12x + -3x = -15x 96 + -15x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 96 + -15x = 21 + 0 96 + -15x = 21 Add '-96' to each side of the equation. 96 + -96 + -15x = 21 + -96 Combine like terms: 96 + -96 = 0 0 + -15x = 21 + -96 -15x = 21 + -96 Combine like terms: 21 + -96 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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