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Simplifying 5(4x + 7) + 9(8 + -1x) = 0 Reorder the terms: 5(7 + 4x) + 9(8 + -1x) = 0 (7 * 5 + 4x * 5) + 9(8 + -1x) = 0 (35 + 20x) + 9(8 + -1x) = 0 35 + 20x + (8 * 9 + -1x * 9) = 0 35 + 20x + (72 + -9x) = 0 Reorder the terms: 35 + 72 + 20x + -9x = 0 Combine like terms: 35 + 72 = 107 107 + 20x + -9x = 0 Combine like terms: 20x + -9x = 11x 107 + 11x = 0 Solving 107 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + 11x = 0 + -107 Combine like terms: 107 + -107 = 0 0 + 11x = 0 + -107 11x = 0 + -107 Combine like terms: 0 + -107 = -107 11x = -107 Divide each side by '11'. x = -9.727272727 Simplifying x = -9.727272727
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