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Simplifying -2(x + -4) = 4(3 + x) Reorder the terms: -2(-4 + x) = 4(3 + x) (-4 * -2 + x * -2) = 4(3 + x) (8 + -2x) = 4(3 + x) 8 + -2x = (3 * 4 + x * 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 = -6x 8 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = 12 + 0 8 + -6x = 12 Add '-8' to each side of the equation. 8 + -8 + -6x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 12 + -8 -6x = 12 + -8 Combine like terms: 12 + -8 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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