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