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Simplifying 0.73 = 0.5X + 0.90(1 + -1X) 0.73 = 0.5X + (1 * 0.90 + -1X * 0.90) 0.73 = 0.5X + (0.9 + -0.9X) Reorder the terms: 0.73 = 0.9 + 0.5X + -0.9X Combine like terms: 0.5X + -0.9X = -0.4X 0.73 = 0.9 + -0.4X Solving 0.73 = 0.9 + -0.4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.4X' to each side of the equation. 0.73 + 0.4X = 0.9 + -0.4X + 0.4X Combine like terms: -0.4X + 0.4X = 0.0 0.73 + 0.4X = 0.9 + 0.0 0.73 + 0.4X = 0.9 Add '-0.73' to each side of the equation. 0.73 + -0.73 + 0.4X = 0.9 + -0.73 Combine like terms: 0.73 + -0.73 = 0.00 0.00 + 0.4X = 0.9 + -0.73 0.4X = 0.9 + -0.73 Combine like terms: 0.9 + -0.73 = 0.17 0.4X = 0.17 Divide each side by '0.4'. X = 0.425 Simplifying X = 0.425
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