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Simplifying 2x + 2 = -2(8 + 8x) Reorder the terms: 2 + 2x = -2(8 + 8x) 2 + 2x = (8 * -2 + 8x * -2) 2 + 2x = (-16 + -16x) Solving 2 + 2x = -16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 2 + 2x + 16x = -16 + -16x + 16x Combine like terms: 2x + 16x = 18x 2 + 18x = -16 + -16x + 16x Combine like terms: -16x + 16x = 0 2 + 18x = -16 + 0 2 + 18x = -16 Add '-2' to each side of the equation. 2 + -2 + 18x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = -16 + -2 18x = -16 + -2 Combine like terms: -16 + -2 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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