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Simplifying 0.5(X) + 0.75(X) + 260 = X Reorder the terms: 260 + 0.5X + 0.75X = X Combine like terms: 0.5X + 0.75X = 1.25X 260 + 1.25X = X Solving 260 + 1.25X = 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. 260 + 1.25X + -1X = X + -1X Combine like terms: 1.25X + -1X = 0.25X 260 + 0.25X = X + -1X Combine like terms: X + -1X = 0 260 + 0.25X = 0 Add '-260' to each side of the equation. 260 + -260 + 0.25X = 0 + -260 Combine like terms: 260 + -260 = 0 0 + 0.25X = 0 + -260 0.25X = 0 + -260 Combine like terms: 0 + -260 = -260 0.25X = -260 Divide each side by '0.25'. X = -1040 Simplifying X = -1040
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