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Simplifying 3(x + 3) = 2(2x + 9) Reorder the terms: 3(3 + x) = 2(2x + 9) (3 * 3 + x * 3) = 2(2x + 9) (9 + 3x) = 2(2x + 9) Reorder the terms: 9 + 3x = 2(9 + 2x) 9 + 3x = (9 * 2 + 2x * 2) 9 + 3x = (18 + 4x) Solving 9 + 3x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 3x + -4x = 18 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = 18 + 4x + -4x Combine like terms: 4x + -4x = 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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