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