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Simplifying 7909 = x + -1(6000 * 0.175) + -1((x + -6000) * 0.225) Multiply 6000 * 0.175 7909 = x + -1(1050) + -1((x + -6000) * 0.225) Multiply -1 * 1050 7909 = x + -1050 + -1((x + -6000) * 0.225) Reorder the terms: 7909 = x + -1050 + -1((-6000 + x) * 0.225) Reorder the terms for easier multiplication: 7909 = x + -1050 + -1(0.225(-6000 + x)) 7909 = x + -1050 + -1((-6000 * 0.225 + x * 0.225)) 7909 = x + -1050 + -1((-1350 + 0.225x)) 7909 = x + -1050 + (-1350 * -1 + 0.225x * -1) 7909 = x + -1050 + (1350 + -0.225x) Reorder the terms: 7909 = -1050 + 1350 + x + -0.225x Combine like terms: -1050 + 1350 = 300 7909 = 300 + x + -0.225x Combine like terms: x + -0.225x = 0.775x 7909 = 300 + 0.775x Solving 7909 = 300 + 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 = 300 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 7909 + -0.775x = 300 + 0.000 7909 + -0.775x = 300 Add '-7909' to each side of the equation. 7909 + -7909 + -0.775x = 300 + -7909 Combine like terms: 7909 + -7909 = 0 0 + -0.775x = 300 + -7909 -0.775x = 300 + -7909 Combine like terms: 300 + -7909 = -7609 -0.775x = -7609 Divide each side by '-0.775'. x = 9818.064516 Simplifying x = 9818.064516
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