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Simplifying 2(x + 1) + 3(2 + -1x) = 9 Reorder the terms: 2(1 + x) + 3(2 + -1x) = 9 (1 * 2 + x * 2) + 3(2 + -1x) = 9 (2 + 2x) + 3(2 + -1x) = 9 2 + 2x + (2 * 3 + -1x * 3) = 9 2 + 2x + (6 + -3x) = 9 Reorder the terms: 2 + 6 + 2x + -3x = 9 Combine like terms: 2 + 6 = 8 8 + 2x + -3x = 9 Combine like terms: 2x + -3x = -1x 8 + -1x = 9 Solving 8 + -1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 9 + -8 -1x = 9 + -8 Combine like terms: 9 + -8 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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