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Simplifying 2(x + 5) + 3(x + 5) = 0 Reorder the terms: 2(5 + x) + 3(x + 5) = 0 (5 * 2 + x * 2) + 3(x + 5) = 0 (10 + 2x) + 3(x + 5) = 0 Reorder the terms: 10 + 2x + 3(5 + x) = 0 10 + 2x + (5 * 3 + x * 3) = 0 10 + 2x + (15 + 3x) = 0 Reorder the terms: 10 + 15 + 2x + 3x = 0 Combine like terms: 10 + 15 = 25 25 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 25 + 5x = 0 Solving 25 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 0 + -25 5x = 0 + -25 Combine like terms: 0 + -25 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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