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Simplifying 3(3 + -4x) = 3(3x + 5) (3 * 3 + -4x * 3) = 3(3x + 5) (9 + -12x) = 3(3x + 5) Reorder the terms: 9 + -12x = 3(5 + 3x) 9 + -12x = (5 * 3 + 3x * 3) 9 + -12x = (15 + 9x) Solving 9 + -12x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + -12x + -9x = 15 + 9x + -9x Combine like terms: -12x + -9x = -21x 9 + -21x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -21x = 15 + 0 9 + -21x = 15 Add '-9' to each side of the equation. 9 + -9 + -21x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -21x = 15 + -9 -21x = 15 + -9 Combine like terms: 15 + -9 = 6 -21x = 6 Divide each side by '-21'. x = -0.2857142857 Simplifying x = -0.2857142857
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