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Simplifying 2(x + 4) = -2(x + -6) Reorder the terms: 2(4 + x) = -2(x + -6) (4 * 2 + x * 2) = -2(x + -6) (8 + 2x) = -2(x + -6) Reorder the terms: 8 + 2x = -2(-6 + x) 8 + 2x = (-6 * -2 + x * -2) 8 + 2x = (12 + -2x) Solving 8 + 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. 8 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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