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Simplifying 0.25(500 + -1x) + 0.15x = 75 (500 * 0.25 + -1x * 0.25) + 0.15x = 75 (125 + -0.25x) + 0.15x = 75 Combine like terms: -0.25x + 0.15x = -0.1x 125 + -0.1x = 75 Solving 125 + -0.1x = 75 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 + -0.1x = 75 + -125 Combine like terms: 125 + -125 = 0 0 + -0.1x = 75 + -125 -0.1x = 75 + -125 Combine like terms: 75 + -125 = -50 -0.1x = -50 Divide each side by '-0.1'. x = 500 Simplifying x = 500
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