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Simplifying 1 + -2(x + 1) = 8 + x Reorder the terms: 1 + -2(1 + x) = 8 + x 1 + (1 * -2 + x * -2) = 8 + x 1 + (-2 + -2x) = 8 + x Combine like terms: 1 + -2 = -1 -1 + -2x = 8 + x Solving -1 + -2x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -2x + -1x = 8 + x + -1x Combine like terms: -2x + -1x = -3x -1 + -3x = 8 + x + -1x Combine like terms: x + -1x = 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 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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