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Simplifying 8(x + 1) = (2x + -2) Reorder the terms: 8(1 + x) = (2x + -2) (1 * 8 + x * 8) = (2x + -2) (8 + 8x) = (2x + -2) Reorder the terms: 8 + 8x = (-2 + 2x) Remove parenthesis around (-2 + 2x) 8 + 8x = -2 + 2x Solving 8 + 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. 8 + 8x + -2x = -2 + 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = -2 + 0 8 + 6x = -2 Add '-8' to each side of the equation. 8 + -8 + 6x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -2 + -8 6x = -2 + -8 Combine like terms: -2 + -8 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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