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Simplifying 3(5x + 4) = 4(2 + -3x) Reorder the terms: 3(4 + 5x) = 4(2 + -3x) (4 * 3 + 5x * 3) = 4(2 + -3x) (12 + 15x) = 4(2 + -3x) 12 + 15x = (2 * 4 + -3x * 4) 12 + 15x = (8 + -12x) Solving 12 + 15x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 15x + 12x = 8 + -12x + 12x Combine like terms: 15x + 12x = 27x 12 + 27x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 27x = 8 + 0 12 + 27x = 8 Add '-12' to each side of the equation. 12 + -12 + 27x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 27x = 8 + -12 27x = 8 + -12 Combine like terms: 8 + -12 = -4 27x = -4 Divide each side by '27'. x = -0.1481481481 Simplifying x = -0.1481481481
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