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Simplifying 3(x + 9) = 2(2x + 18) Reorder the terms: 3(9 + x) = 2(2x + 18) (9 * 3 + x * 3) = 2(2x + 18) (27 + 3x) = 2(2x + 18) Reorder the terms: 27 + 3x = 2(18 + 2x) 27 + 3x = (18 * 2 + 2x * 2) 27 + 3x = (36 + 4x) Solving 27 + 3x = 36 + 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. 27 + 3x + -4x = 36 + 4x + -4x Combine like terms: 3x + -4x = -1x 27 + -1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -1x = 36 + 0 27 + -1x = 36 Add '-27' to each side of the equation. 27 + -27 + -1x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 36 + -27 -1x = 36 + -27 Combine like terms: 36 + -27 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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