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Simplifying 1(x + 25) = 2(x + 10) Reorder the terms: 1(25 + x) = 2(x + 10) (25 * 1 + x * 1) = 2(x + 10) (25 + 1x) = 2(x + 10) Reorder the terms: 25 + 1x = 2(10 + x) 25 + 1x = (10 * 2 + x * 2) 25 + 1x = (20 + 2x) Solving 25 + 1x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + 1x + -2x = 20 + 2x + -2x Combine like terms: 1x + -2x = -1x 25 + -1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -1x = 20 + 0 25 + -1x = 20 Add '-25' to each side of the equation. 25 + -25 + -1x = 20 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 20 + -25 -1x = 20 + -25 Combine like terms: 20 + -25 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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