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Simplifying 8(2x + 9) + 5(4x + 3) = 0 Reorder the terms: 8(9 + 2x) + 5(4x + 3) = 0 (9 * 8 + 2x * 8) + 5(4x + 3) = 0 (72 + 16x) + 5(4x + 3) = 0 Reorder the terms: 72 + 16x + 5(3 + 4x) = 0 72 + 16x + (3 * 5 + 4x * 5) = 0 72 + 16x + (15 + 20x) = 0 Reorder the terms: 72 + 15 + 16x + 20x = 0 Combine like terms: 72 + 15 = 87 87 + 16x + 20x = 0 Combine like terms: 16x + 20x = 36x 87 + 36x = 0 Solving 87 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 36x = 0 + -87 Combine like terms: 87 + -87 = 0 0 + 36x = 0 + -87 36x = 0 + -87 Combine like terms: 0 + -87 = -87 36x = -87 Divide each side by '36'. x = -2.416666667 Simplifying x = -2.416666667
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