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Simplifying 2 + -1(x + 1) = 6 + -1(-2x + -2) Reorder the terms: 2 + -1(1 + x) = 6 + -1(-2x + -2) 2 + (1 * -1 + x * -1) = 6 + -1(-2x + -2) 2 + (-1 + -1x) = 6 + -1(-2x + -2) Combine like terms: 2 + -1 = 1 1 + -1x = 6 + -1(-2x + -2) Reorder the terms: 1 + -1x = 6 + -1(-2 + -2x) 1 + -1x = 6 + (-2 * -1 + -2x * -1) 1 + -1x = 6 + (2 + 2x) Combine like terms: 6 + 2 = 8 1 + -1x = 8 + 2x Solving 1 + -1x = 8 + 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. 1 + -1x + -2x = 8 + 2x + -2x Combine like terms: -1x + -2x = -3x 1 + -3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -3x = 8 + 0 1 + -3x = 8 Add '-1' to each side of the equation. 1 + -1 + -3x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 8 + -1 -3x = 8 + -1 Combine like terms: 8 + -1 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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