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Simplifying 5(x + 1) + -2(x + -5) = 0 Reorder the terms: 5(1 + x) + -2(x + -5) = 0 (1 * 5 + x * 5) + -2(x + -5) = 0 (5 + 5x) + -2(x + -5) = 0 Reorder the terms: 5 + 5x + -2(-5 + x) = 0 5 + 5x + (-5 * -2 + x * -2) = 0 5 + 5x + (10 + -2x) = 0 Reorder the terms: 5 + 10 + 5x + -2x = 0 Combine like terms: 5 + 10 = 15 15 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 15 + 3x = 0 Solving 15 + 3x = 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 + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 0 + -15 3x = 0 + -15 Combine like terms: 0 + -15 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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