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Simplifying 5(x + 2) + 2(x + 5) = 0 Reorder the terms: 5(2 + x) + 2(x + 5) = 0 (2 * 5 + x * 5) + 2(x + 5) = 0 (10 + 5x) + 2(x + 5) = 0 Reorder the terms: 10 + 5x + 2(5 + x) = 0 10 + 5x + (5 * 2 + x * 2) = 0 10 + 5x + (10 + 2x) = 0 Reorder the terms: 10 + 10 + 5x + 2x = 0 Combine like terms: 10 + 10 = 20 20 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x 20 + 7x = 0 Solving 20 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 0 + -20 7x = 0 + -20 Combine like terms: 0 + -20 = -20 7x = -20 Divide each side by '7'. x = -2.857142857 Simplifying x = -2.857142857
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