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Simplifying 4(3x + 5) + 7(5x + 8) = 0 Reorder the terms: 4(5 + 3x) + 7(5x + 8) = 0 (5 * 4 + 3x * 4) + 7(5x + 8) = 0 (20 + 12x) + 7(5x + 8) = 0 Reorder the terms: 20 + 12x + 7(8 + 5x) = 0 20 + 12x + (8 * 7 + 5x * 7) = 0 20 + 12x + (56 + 35x) = 0 Reorder the terms: 20 + 56 + 12x + 35x = 0 Combine like terms: 20 + 56 = 76 76 + 12x + 35x = 0 Combine like terms: 12x + 35x = 47x 76 + 47x = 0 Solving 76 + 47x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 47x = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 47x = 0 + -76 47x = 0 + -76 Combine like terms: 0 + -76 = -76 47x = -76 Divide each side by '47'. x = -1.617021277 Simplifying x = -1.617021277
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