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Simplifying 4(3x + 2) = -5(2x + -3) Reorder the terms: 4(2 + 3x) = -5(2x + -3) (2 * 4 + 3x * 4) = -5(2x + -3) (8 + 12x) = -5(2x + -3) Reorder the terms: 8 + 12x = -5(-3 + 2x) 8 + 12x = (-3 * -5 + 2x * -5) 8 + 12x = (15 + -10x) Solving 8 + 12x = 15 + -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. 8 + 12x + 10x = 15 + -10x + 10x Combine like terms: 12x + 10x = 22x 8 + 22x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 22x = 15 + 0 8 + 22x = 15 Add '-8' to each side of the equation. 8 + -8 + 22x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 22x = 15 + -8 22x = 15 + -8 Combine like terms: 15 + -8 = 7 22x = 7 Divide each side by '22'. x = 0.3181818182 Simplifying x = 0.3181818182
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