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Simplifying 6998 = x + -1(6000)(0.18) + -1((x + -6000)(0.225)) Multiply -1 * 6000 6998 = x + -6000 * 0.18 + -1((x + -6000)(0.225)) Multiply -6000 * 0.18 6998 = x + -1080 + -1((x + -6000)(0.225)) Reorder the terms: 6998 = x + -1080 + -1((-6000 + x)(0.225)) Reorder the terms for easier multiplication: 6998 = x + -1080 + -1(0.225(-6000 + x)) 6998 = x + -1080 + -1((-6000 * 0.225 + x * 0.225)) 6998 = x + -1080 + -1((-1350 + 0.225x)) 6998 = x + -1080 + (-1350 * -1 + 0.225x * -1) 6998 = x + -1080 + (1350 + -0.225x) Reorder the terms: 6998 = -1080 + 1350 + x + -0.225x Combine like terms: -1080 + 1350 = 270 6998 = 270 + x + -0.225x Combine like terms: x + -0.225x = 0.775x 6998 = 270 + 0.775x Solving 6998 = 270 + 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. 6998 + -0.775x = 270 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 6998 + -0.775x = 270 + 0.000 6998 + -0.775x = 270 Add '-6998' to each side of the equation. 6998 + -6998 + -0.775x = 270 + -6998 Combine like terms: 6998 + -6998 = 0 0 + -0.775x = 270 + -6998 -0.775x = 270 + -6998 Combine like terms: 270 + -6998 = -6728 -0.775x = -6728 Divide each side by '-0.775'. x = 8681.290323 Simplifying x = 8681.290323
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