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Simplifying -2(2x + -4) = 3(x + 12) Reorder the terms: -2(-4 + 2x) = 3(x + 12) (-4 * -2 + 2x * -2) = 3(x + 12) (8 + -4x) = 3(x + 12) Reorder the terms: 8 + -4x = 3(12 + x) 8 + -4x = (12 * 3 + x * 3) 8 + -4x = (36 + 3x) Solving 8 + -4x = 36 + 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. 8 + -4x + -3x = 36 + 3x + -3x Combine like terms: -4x + -3x = -7x 8 + -7x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -7x = 36 + 0 8 + -7x = 36 Add '-8' to each side of the equation. 8 + -8 + -7x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 36 + -8 -7x = 36 + -8 Combine like terms: 36 + -8 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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