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Simplifying 5522 = x + -1(6000 * 0.175) + -1((x + -6000) * 0.225) Multiply 6000 * 0.175 5522 = x + -1(1050) + -1((x + -6000) * 0.225) Multiply -1 * 1050 5522 = x + -1050 + -1((x + -6000) * 0.225) Reorder the terms: 5522 = x + -1050 + -1((-6000 + x) * 0.225) Reorder the terms for easier multiplication: 5522 = x + -1050 + -1(0.225(-6000 + x)) 5522 = x + -1050 + -1((-6000 * 0.225 + x * 0.225)) 5522 = x + -1050 + -1((-1350 + 0.225x)) 5522 = x + -1050 + (-1350 * -1 + 0.225x * -1) 5522 = x + -1050 + (1350 + -0.225x) Reorder the terms: 5522 = -1050 + 1350 + x + -0.225x Combine like terms: -1050 + 1350 = 300 5522 = 300 + x + -0.225x Combine like terms: x + -0.225x = 0.775x 5522 = 300 + 0.775x Solving 5522 = 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. 5522 + -0.775x = 300 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 5522 + -0.775x = 300 + 0.000 5522 + -0.775x = 300 Add '-5522' to each side of the equation. 5522 + -5522 + -0.775x = 300 + -5522 Combine like terms: 5522 + -5522 = 0 0 + -0.775x = 300 + -5522 -0.775x = 300 + -5522 Combine like terms: 300 + -5522 = -5222 -0.775x = -5222 Divide each side by '-0.775'. x = 6738.064516 Simplifying x = 6738.064516
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