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Simplifying 1.25X + -1(10000 + 0.5X) = 1.25X + -0.7X 1.25X + (10000 * -1 + 0.5X * -1) = 1.25X + -0.7X 1.25X + (-10000 + -0.5X) = 1.25X + -0.7X Reorder the terms: -10000 + 1.25X + -0.5X = 1.25X + -0.7X Combine like terms: 1.25X + -0.5X = 0.75X -10000 + 0.75X = 1.25X + -0.7X Combine like terms: 1.25X + -0.7X = 0.55X -10000 + 0.75X = 0.55X Solving -10000 + 0.75X = 0.55X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.55X' to each side of the equation. -10000 + 0.75X + -0.55X = 0.55X + -0.55X Combine like terms: 0.75X + -0.55X = 0.2X -10000 + 0.2X = 0.55X + -0.55X Combine like terms: 0.55X + -0.55X = 0.00 -10000 + 0.2X = 0.00 Add '10000' to each side of the equation. -10000 + 10000 + 0.2X = 0.00 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 0.2X = 0.00 + 10000 0.2X = 0.00 + 10000 Combine like terms: 0.00 + 10000 = 10000 0.2X = 10000 Divide each side by '0.2'. X = 50000 Simplifying X = 50000
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