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Simplifying 2(x + -4) + -2(x + 4) = 2x Reorder the terms: 2(-4 + x) + -2(x + 4) = 2x (-4 * 2 + x * 2) + -2(x + 4) = 2x (-8 + 2x) + -2(x + 4) = 2x Reorder the terms: -8 + 2x + -2(4 + x) = 2x -8 + 2x + (4 * -2 + x * -2) = 2x -8 + 2x + (-8 + -2x) = 2x Reorder the terms: -8 + -8 + 2x + -2x = 2x Combine like terms: -8 + -8 = -16 -16 + 2x + -2x = 2x Combine like terms: 2x + -2x = 0 -16 + 0 = 2x -16 = 2x Solving -16 = 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. -16 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -2x = 0 Add '16' to each side of the equation. -16 + 16 + -2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 0 + 16 -2x = 0 + 16 Combine like terms: 0 + 16 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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