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Simplifying 3(3x + 6) = 6(5x + 2) Reorder the terms: 3(6 + 3x) = 6(5x + 2) (6 * 3 + 3x * 3) = 6(5x + 2) (18 + 9x) = 6(5x + 2) Reorder the terms: 18 + 9x = 6(2 + 5x) 18 + 9x = (2 * 6 + 5x * 6) 18 + 9x = (12 + 30x) Solving 18 + 9x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 18 + 9x + -30x = 12 + 30x + -30x Combine like terms: 9x + -30x = -21x 18 + -21x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 18 + -21x = 12 + 0 18 + -21x = 12 Add '-18' to each side of the equation. 18 + -18 + -21x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = 12 + -18 -21x = 12 + -18 Combine like terms: 12 + -18 = -6 -21x = -6 Divide each side by '-21'. x = 0.2857142857 Simplifying x = 0.2857142857
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