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