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Simplifying 0.10(x) + 0.25(500 + -1x) = 0.20(500) 0.10x + (500 * 0.25 + -1x * 0.25) = 0.20(500) 0.10x + (125 + -0.25x) = 0.20(500) Reorder the terms: 125 + 0.10x + -0.25x = 0.20(500) Combine like terms: 0.10x + -0.25x = -0.15x 125 + -0.15x = 0.20(500) Multiply 0.20 * 500 125 + -0.15x = 100 Solving 125 + -0.15x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -0.15x = 100 + -125 Combine like terms: 125 + -125 = 0 0 + -0.15x = 100 + -125 -0.15x = 100 + -125 Combine like terms: 100 + -125 = -25 -0.15x = -25 Divide each side by '-0.15'. x = 166.6666667 Simplifying x = 166.6666667
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