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Simplifying 2(12 + -2x) = -1(x + -9) (12 * 2 + -2x * 2) = -1(x + -9) (24 + -4x) = -1(x + -9) Reorder the terms: 24 + -4x = -1(-9 + x) 24 + -4x = (-9 * -1 + x * -1) 24 + -4x = (9 + -1x) Solving 24 + -4x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + -4x + x = 9 + -1x + x Combine like terms: -4x + x = -3x 24 + -3x = 9 + -1x + x Combine like terms: -1x + x = 0 24 + -3x = 9 + 0 24 + -3x = 9 Add '-24' to each side of the equation. 24 + -24 + -3x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 9 + -24 -3x = 9 + -24 Combine like terms: 9 + -24 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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