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Simplifying 3(3x + 5) + 4(5x + 2) = 0 Reorder the terms: 3(5 + 3x) + 4(5x + 2) = 0 (5 * 3 + 3x * 3) + 4(5x + 2) = 0 (15 + 9x) + 4(5x + 2) = 0 Reorder the terms: 15 + 9x + 4(2 + 5x) = 0 15 + 9x + (2 * 4 + 5x * 4) = 0 15 + 9x + (8 + 20x) = 0 Reorder the terms: 15 + 8 + 9x + 20x = 0 Combine like terms: 15 + 8 = 23 23 + 9x + 20x = 0 Combine like terms: 9x + 20x = 29x 23 + 29x = 0 Solving 23 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 29x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 29x = 0 + -23 29x = 0 + -23 Combine like terms: 0 + -23 = -23 29x = -23 Divide each side by '29'. x = -0.7931034483 Simplifying x = -0.7931034483
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