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Simplifying 0.1x + 0.25(200 + -1x) = 38.75 0.1x + (200 * 0.25 + -1x * 0.25) = 38.75 0.1x + (50 + -0.25x) = 38.75 Reorder the terms: 50 + 0.1x + -0.25x = 38.75 Combine like terms: 0.1x + -0.25x = -0.15x 50 + -0.15x = 38.75 Solving 50 + -0.15x = 38.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -0.15x = 38.75 + -50 Combine like terms: 50 + -50 = 0 0 + -0.15x = 38.75 + -50 -0.15x = 38.75 + -50 Combine like terms: 38.75 + -50 = -11.25 -0.15x = -11.25 Divide each side by '-0.15'. x = 75 Simplifying x = 75
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