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