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Simplifying -2(x + -4) = -6(2 + x) Reorder the terms: -2(-4 + x) = -6(2 + x) (-4 * -2 + x * -2) = -6(2 + x) (8 + -2x) = -6(2 + x) 8 + -2x = (2 * -6 + x * -6) 8 + -2x = (-12 + -6x) Solving 8 + -2x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -2x + 6x = -12 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -12 + 0 8 + 4x = -12 Add '-8' to each side of the equation. 8 + -8 + 4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -12 + -8 4x = -12 + -8 Combine like terms: -12 + -8 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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