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