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Simplifying 0.4X + 0.25(100 + -1X) = 0.32 0.4X + (100 * 0.25 + -1X * 0.25) = 0.32 0.4X + (25 + -0.25X) = 0.32 Reorder the terms: 25 + 0.4X + -0.25X = 0.32 Combine like terms: 0.4X + -0.25X = 0.15X 25 + 0.15X = 0.32 Solving 25 + 0.15X = 0.32 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.15X = 0.32 + -25 Combine like terms: 25 + -25 = 0 0 + 0.15X = 0.32 + -25 0.15X = 0.32 + -25 Combine like terms: 0.32 + -25 = -24.68 0.15X = -24.68 Divide each side by '0.15'. X = -164.5333333 Simplifying X = -164.5333333
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