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Simplifying 0.5X + 0.25X + 200 = X Reorder the terms: 200 + 0.5X + 0.25X = X Combine like terms: 0.5X + 0.25X = 0.75X 200 + 0.75X = X Solving 200 + 0.75X = 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. 200 + 0.75X + -1X = X + -1X Combine like terms: 0.75X + -1X = -0.25X 200 + -0.25X = X + -1X Combine like terms: X + -1X = 0 200 + -0.25X = 0 Add '-200' to each side of the equation. 200 + -200 + -0.25X = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -0.25X = 0 + -200 -0.25X = 0 + -200 Combine like terms: 0 + -200 = -200 -0.25X = -200 Divide each side by '-0.25'. X = 800 Simplifying X = 800
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