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Simplifying 7(x + 3) + -2(x + -5) = 0 Reorder the terms: 7(3 + x) + -2(x + -5) = 0 (3 * 7 + x * 7) + -2(x + -5) = 0 (21 + 7x) + -2(x + -5) = 0 Reorder the terms: 21 + 7x + -2(-5 + x) = 0 21 + 7x + (-5 * -2 + x * -2) = 0 21 + 7x + (10 + -2x) = 0 Reorder the terms: 21 + 10 + 7x + -2x = 0 Combine like terms: 21 + 10 = 31 31 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x 31 + 5x = 0 Solving 31 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 5x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 0 + -31 5x = 0 + -31 Combine like terms: 0 + -31 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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