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