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Simplifying 3(3 + -4x) = 2(5x + 1) (3 * 3 + -4x * 3) = 2(5x + 1) (9 + -12x) = 2(5x + 1) Reorder the terms: 9 + -12x = 2(1 + 5x) 9 + -12x = (1 * 2 + 5x * 2) 9 + -12x = (2 + 10x) Solving 9 + -12x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + -12x + -10x = 2 + 10x + -10x Combine like terms: -12x + -10x = -22x 9 + -22x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -22x = 2 + 0 9 + -22x = 2 Add '-9' to each side of the equation. 9 + -9 + -22x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -22x = 2 + -9 -22x = 2 + -9 Combine like terms: 2 + -9 = -7 -22x = -7 Divide each side by '-22'. x = 0.3181818182 Simplifying x = 0.3181818182
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