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Simplifying 2(x + 5) + 5(x + 1) = 0 Reorder the terms: 2(5 + x) + 5(x + 1) = 0 (5 * 2 + x * 2) + 5(x + 1) = 0 (10 + 2x) + 5(x + 1) = 0 Reorder the terms: 10 + 2x + 5(1 + x) = 0 10 + 2x + (1 * 5 + x * 5) = 0 10 + 2x + (5 + 5x) = 0 Reorder the terms: 10 + 5 + 2x + 5x = 0 Combine like terms: 10 + 5 = 15 15 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x 15 + 7x = 0 Solving 15 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 0 + -15 7x = 0 + -15 Combine like terms: 0 + -15 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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