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Simplifying 0.4X + 0.25(100 + -1x) = 0.28 0.4X + (100 * 0.25 + -1x * 0.25) = 0.28 0.4X + (25 + -0.25x) = 0.28 Reorder the terms: 25 + 0.4X + -0.25x = 0.28 Solving 25 + 0.4X + -0.25x = 0.28 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 + 0.4X + -25 + -0.25x = 0.28 + -25 Reorder the terms: 25 + -25 + 0.4X + -0.25x = 0.28 + -25 Combine like terms: 25 + -25 = 0 0 + 0.4X + -0.25x = 0.28 + -25 0.4X + -0.25x = 0.28 + -25 Combine like terms: 0.28 + -25 = -24.72 0.4X + -0.25x = -24.72 Add '0.25x' to each side of the equation. 0.4X + -0.25x + 0.25x = -24.72 + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 0.4X + 0.00 = -24.72 + 0.25x 0.4X = -24.72 + 0.25x Divide each side by '0.4'. X = -61.8 + 0.625x Simplifying X = -61.8 + 0.625x
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