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Simplifying 0.25(40 + x) = 10 + 0.25 (40 * 0.25 + x * 0.25) = 10 + 0.25 (10 + 0.25x) = 10 + 0.25 Combine like terms: 10 + 0.25 = 10.25 10 + 0.25x = 10.25 Solving 10 + 0.25x = 10.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.25x = 10.25 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25x = 10.25 + -10 0.25x = 10.25 + -10 Combine like terms: 10.25 + -10 = 0.25 0.25x = 0.25 Divide each side by '0.25'. x = 1 Simplifying x = 1
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