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Simplifying 7 + -2(x + 1) = 8 + x Reorder the terms: 7 + -2(1 + x) = 8 + x 7 + (1 * -2 + x * -2) = 8 + x 7 + (-2 + -2x) = 8 + x Combine like terms: 7 + -2 = 5 5 + -2x = 8 + x Solving 5 + -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. 5 + -2x + -1x = 8 + x + -1x Combine like terms: -2x + -1x = -3x 5 + -3x = 8 + x + -1x Combine like terms: x + -1x = 0 5 + -3x = 8 + 0 5 + -3x = 8 Add '-5' to each side of the equation. 5 + -5 + -3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 8 + -5 -3x = 8 + -5 Combine like terms: 8 + -5 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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