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Simplifying 3(x + 3) = 2(x + 4) Reorder the terms: 3(3 + x) = 2(x + 4) (3 * 3 + x * 3) = 2(x + 4) (9 + 3x) = 2(x + 4) Reorder the terms: 9 + 3x = 2(4 + x) 9 + 3x = (4 * 2 + x * 2) 9 + 3x = (8 + 2x) Solving 9 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 8 + 0 9 + 1x = 8 Add '-9' to each side of the equation. 9 + -9 + 1x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 8 + -9 1x = 8 + -9 Combine like terms: 8 + -9 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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