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Simplifying 2(x + 5) + -3(x + -5) = 10 Reorder the terms: 2(5 + x) + -3(x + -5) = 10 (5 * 2 + x * 2) + -3(x + -5) = 10 (10 + 2x) + -3(x + -5) = 10 Reorder the terms: 10 + 2x + -3(-5 + x) = 10 10 + 2x + (-5 * -3 + x * -3) = 10 10 + 2x + (15 + -3x) = 10 Reorder the terms: 10 + 15 + 2x + -3x = 10 Combine like terms: 10 + 15 = 25 25 + 2x + -3x = 10 Combine like terms: 2x + -3x = -1x 25 + -1x = 10 Solving 25 + -1x = 10 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 + -1x = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 10 + -25 -1x = 10 + -25 Combine like terms: 10 + -25 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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