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