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Simplifying 3(x + 3) = 2(x + 6) Reorder the terms: 3(3 + x) = 2(x + 6) (3 * 3 + x * 3) = 2(x + 6) (9 + 3x) = 2(x + 6) Reorder the terms: 9 + 3x = 2(6 + x) 9 + 3x = (6 * 2 + x * 2) 9 + 3x = (12 + 2x) Solving 9 + 3x = 12 + 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 = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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