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Simplifying 5 + -2(x + 1) = 9 + x Reorder the terms: 5 + -2(1 + x) = 9 + x 5 + (1 * -2 + x * -2) = 9 + x 5 + (-2 + -2x) = 9 + x Combine like terms: 5 + -2 = 3 3 + -2x = 9 + x Solving 3 + -2x = 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. 3 + -2x + -1x = 9 + x + -1x Combine like terms: -2x + -1x = -3x 3 + -3x = 9 + x + -1x Combine like terms: x + -1x = 0 3 + -3x = 9 + 0 3 + -3x = 9 Add '-3' to each side of the equation. 3 + -3 + -3x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 9 + -3 -3x = 9 + -3 Combine like terms: 9 + -3 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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