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