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Simplifying x * 0.75 + (100 + -1X)(0.5) = (x + 100)(0.6) Reorder the terms for easier multiplication: 0.75x + (100 + -1X)(0.5) = (x + 100)(0.6) Reorder the terms for easier multiplication: 0.75x + 0.5(100 + -1X) = (x + 100)(0.6) 0.75x + (100 * 0.5 + -1X * 0.5) = (x + 100)(0.6) 0.75x + (50 + -0.5X) = (x + 100)(0.6) Reorder the terms: 50 + -0.5X + 0.75x = (x + 100)(0.6) Reorder the terms: 50 + -0.5X + 0.75x = (100 + x)(0.6) Reorder the terms for easier multiplication: 50 + -0.5X + 0.75x = 0.6(100 + x) 50 + -0.5X + 0.75x = (100 * 0.6 + x * 0.6) 50 + -0.5X + 0.75x = (60 + 0.6x) Solving 50 + -0.5X + 0.75x = 60 + 0.6x 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 + -0.5X + -50 + 0.75x = 60 + -50 + 0.6x Reorder the terms: 50 + -50 + -0.5X + 0.75x = 60 + -50 + 0.6x Combine like terms: 50 + -50 = 0 0 + -0.5X + 0.75x = 60 + -50 + 0.6x -0.5X + 0.75x = 60 + -50 + 0.6x Combine like terms: 60 + -50 = 10 -0.5X + 0.75x = 10 + 0.6x Add '-0.75x' to each side of the equation. -0.5X + 0.75x + -0.75x = 10 + 0.6x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.5X + 0.00 = 10 + 0.6x + -0.75x -0.5X = 10 + 0.6x + -0.75x Combine like terms: 0.6x + -0.75x = -0.15x -0.5X = 10 + -0.15x Divide each side by '-0.5'. X = -20 + 0.3x Simplifying X = -20 + 0.3x
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