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Simplifying 7909 = x + -1(7000 * 0.175) + -1((x + -7000) * 0.225) Multiply 7000 * 0.175 7909 = x + -1(1225) + -1((x + -7000) * 0.225) Multiply -1 * 1225 7909 = x + -1225 + -1((x + -7000) * 0.225) Reorder the terms: 7909 = x + -1225 + -1((-7000 + x) * 0.225) Reorder the terms for easier multiplication: 7909 = x + -1225 + -1(0.225(-7000 + x)) 7909 = x + -1225 + -1((-7000 * 0.225 + x * 0.225)) 7909 = x + -1225 + -1((-1575 + 0.225x)) 7909 = x + -1225 + (-1575 * -1 + 0.225x * -1) 7909 = x + -1225 + (1575 + -0.225x) Reorder the terms: 7909 = -1225 + 1575 + x + -0.225x Combine like terms: -1225 + 1575 = 350 7909 = 350 + x + -0.225x Combine like terms: x + -0.225x = 0.775x 7909 = 350 + 0.775x Solving 7909 = 350 + 0.775x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.775x' to each side of the equation. 7909 + -0.775x = 350 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 7909 + -0.775x = 350 + 0.000 7909 + -0.775x = 350 Add '-7909' to each side of the equation. 7909 + -7909 + -0.775x = 350 + -7909 Combine like terms: 7909 + -7909 = 0 0 + -0.775x = 350 + -7909 -0.775x = 350 + -7909 Combine like terms: 350 + -7909 = -7559 -0.775x = -7559 Divide each side by '-0.775'. x = 9753.548387 Simplifying x = 9753.548387
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