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Simplifying -2(x + -4) = 4(3 + -1x) Reorder the terms: -2(-4 + x) = 4(3 + -1x) (-4 * -2 + x * -2) = 4(3 + -1x) (8 + -2x) = 4(3 + -1x) 8 + -2x = (3 * 4 + -1x * 4) 8 + -2x = (12 + -4x) Solving 8 + -2x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 8 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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