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Simplifying 8 + -1(x + 1) = 9 + x Reorder the terms: 8 + -1(1 + x) = 9 + x 8 + (1 * -1 + x * -1) = 9 + x 8 + (-1 + -1x) = 9 + x Combine like terms: 8 + -1 = 7 7 + -1x = 9 + x Solving 7 + -1x = 9 + 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. 7 + -1x + -1x = 9 + x + -1x Combine like terms: -1x + -1x = -2x 7 + -2x = 9 + x + -1x Combine like terms: x + -1x = 0 7 + -2x = 9 + 0 7 + -2x = 9 Add '-7' to each side of the equation. 7 + -7 + -2x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 9 + -7 -2x = 9 + -7 Combine like terms: 9 + -7 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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