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Simplifying 2(4x + 8) = -2 + 2x Reorder the terms: 2(8 + 4x) = -2 + 2x (8 * 2 + 4x * 2) = -2 + 2x (16 + 8x) = -2 + 2x Solving 16 + 8x = -2 + 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 + 8x + -2x = -2 + 2x + -2x Combine like terms: 8x + -2x = 6x 16 + 6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 6x = -2 + 0 16 + 6x = -2 Add '-16' to each side of the equation. 16 + -16 + 6x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -2 + -16 6x = -2 + -16 Combine like terms: -2 + -16 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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