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Simplifying 3(x + 3) = 2(x + 9) Reorder the terms: 3(3 + x) = 2(x + 9) (3 * 3 + x * 3) = 2(x + 9) (9 + 3x) = 2(x + 9) Reorder the terms: 9 + 3x = 2(9 + x) 9 + 3x = (9 * 2 + x * 2) 9 + 3x = (18 + 2x) Solving 9 + 3x = 18 + 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 = 18 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 18 + 0 9 + 1x = 18 Add '-9' to each side of the equation. 9 + -9 + 1x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 18 + -9 1x = 18 + -9 Combine like terms: 18 + -9 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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