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Simplifying 5(x + 8) + 2(x + 10) = 0 Reorder the terms: 5(8 + x) + 2(x + 10) = 0 (8 * 5 + x * 5) + 2(x + 10) = 0 (40 + 5x) + 2(x + 10) = 0 Reorder the terms: 40 + 5x + 2(10 + x) = 0 40 + 5x + (10 * 2 + x * 2) = 0 40 + 5x + (20 + 2x) = 0 Reorder the terms: 40 + 20 + 5x + 2x = 0 Combine like terms: 40 + 20 = 60 60 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x 60 + 7x = 0 Solving 60 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 7x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 7x = 0 + -60 7x = 0 + -60 Combine like terms: 0 + -60 = -60 7x = -60 Divide each side by '7'. x = -8.571428571 Simplifying x = -8.571428571
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