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Simplifying 9(3x + 2) = 12(4x + 2) Reorder the terms: 9(2 + 3x) = 12(4x + 2) (2 * 9 + 3x * 9) = 12(4x + 2) (18 + 27x) = 12(4x + 2) Reorder the terms: 18 + 27x = 12(2 + 4x) 18 + 27x = (2 * 12 + 4x * 12) 18 + 27x = (24 + 48x) Solving 18 + 27x = 24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 18 + 27x + -48x = 24 + 48x + -48x Combine like terms: 27x + -48x = -21x 18 + -21x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 18 + -21x = 24 + 0 18 + -21x = 24 Add '-18' to each side of the equation. 18 + -18 + -21x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = 24 + -18 -21x = 24 + -18 Combine like terms: 24 + -18 = 6 -21x = 6 Divide each side by '-21'. x = -0.2857142857 Simplifying x = -0.2857142857
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