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Simplifying -12 = -1(5x + -8) + 8(2x + -8) Reorder the terms: -12 = -1(-8 + 5x) + 8(2x + -8) -12 = (-8 * -1 + 5x * -1) + 8(2x + -8) -12 = (8 + -5x) + 8(2x + -8) Reorder the terms: -12 = 8 + -5x + 8(-8 + 2x) -12 = 8 + -5x + (-8 * 8 + 2x * 8) -12 = 8 + -5x + (-64 + 16x) Reorder the terms: -12 = 8 + -64 + -5x + 16x Combine like terms: 8 + -64 = -56 -12 = -56 + -5x + 16x Combine like terms: -5x + 16x = 11x -12 = -56 + 11x Solving -12 = -56 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + -11x = -56 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -11x = -56 + 0 -12 + -11x = -56 Add '12' to each side of the equation. -12 + 12 + -11x = -56 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -56 + 12 -11x = -56 + 12 Combine like terms: -56 + 12 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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