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Simplifying 3(5x + 2) + 4(3x + 5) = 0 Reorder the terms: 3(2 + 5x) + 4(3x + 5) = 0 (2 * 3 + 5x * 3) + 4(3x + 5) = 0 (6 + 15x) + 4(3x + 5) = 0 Reorder the terms: 6 + 15x + 4(5 + 3x) = 0 6 + 15x + (5 * 4 + 3x * 4) = 0 6 + 15x + (20 + 12x) = 0 Reorder the terms: 6 + 20 + 15x + 12x = 0 Combine like terms: 6 + 20 = 26 26 + 15x + 12x = 0 Combine like terms: 15x + 12x = 27x 26 + 27x = 0 Solving 26 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 27x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 27x = 0 + -26 27x = 0 + -26 Combine like terms: 0 + -26 = -26 27x = -26 Divide each side by '27'. x = -0.962962963 Simplifying x = -0.962962963
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