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Simplifying 0.25x + 0.50(100 + -1x) = 100 0.25x + (100 * 0.50 + -1x * 0.50) = 100 0.25x + (50 + -0.5x) = 100 Reorder the terms: 50 + 0.25x + -0.5x = 100 Combine like terms: 0.25x + -0.5x = -0.25x 50 + -0.25x = 100 Solving 50 + -0.25x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -0.25x = 100 + -50 Combine like terms: 50 + -50 = 0 0 + -0.25x = 100 + -50 -0.25x = 100 + -50 Combine like terms: 100 + -50 = 50 -0.25x = 50 Divide each side by '-0.25'. x = -200 Simplifying x = -200
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