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Simplifying 0.25(40 + -1x) = x (40 * 0.25 + -1x * 0.25) = x (10 + -0.25x) = x Solving 10 + -0.25x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -0.25x + -1x = x + -1x Combine like terms: -0.25x + -1x = -1.25x 10 + -1.25x = x + -1x Combine like terms: x + -1x = 0 10 + -1.25x = 0 Add '-10' to each side of the equation. 10 + -10 + -1.25x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1.25x = 0 + -10 -1.25x = 0 + -10 Combine like terms: 0 + -10 = -10 -1.25x = -10 Divide each side by '-1.25'. x = 8 Simplifying x = 8
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