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Simplifying (0.62x) * 40000 = ((x + -162500)(0.62)) * 80000 Remove parenthesis around (0.62x) 0.62x * 40000 = ((x + -162500)(0.62)) * 80000 Reorder the terms for easier multiplication: 0.62 * 40000x = ((x + -162500)(0.62)) * 80000 Multiply 0.62 * 40000 24800x = ((x + -162500)(0.62)) * 80000 Reorder the terms: 24800x = ((-162500 + x)(0.62)) * 80000 Reorder the terms for easier multiplication: 24800x = (0.62(-162500 + x)) * 80000 24800x = ((-162500 * 0.62 + x * 0.62)) * 80000 24800x = ((-100750 + 0.62x)) * 80000 Reorder the terms for easier multiplication: 24800x = 80000(-100750 + 0.62x) 24800x = (-100750 * 80000 + 0.62x * 80000) 24800x = (-8060000000 + 49600x) Solving 24800x = -8060000000 + 49600x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49600x' to each side of the equation. 24800x + -49600x = -8060000000 + 49600x + -49600x Combine like terms: 24800x + -49600x = -24800x -24800x = -8060000000 + 49600x + -49600x Combine like terms: 49600x + -49600x = 0 -24800x = -8060000000 + 0 -24800x = -8060000000 Divide each side by '-24800'. x = 325000 Simplifying x = 325000
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