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Simplifying 6676 = x + -1(4000 * 0.175) + -1((x + -4000) * 0.225) Multiply 4000 * 0.175 6676 = x + -1(700) + -1((x + -4000) * 0.225) Multiply -1 * 700 6676 = x + -700 + -1((x + -4000) * 0.225) Reorder the terms: 6676 = x + -700 + -1((-4000 + x) * 0.225) Reorder the terms for easier multiplication: 6676 = x + -700 + -1(0.225(-4000 + x)) 6676 = x + -700 + -1((-4000 * 0.225 + x * 0.225)) 6676 = x + -700 + -1((-900 + 0.225x)) 6676 = x + -700 + (-900 * -1 + 0.225x * -1) 6676 = x + -700 + (900 + -0.225x) Reorder the terms: 6676 = -700 + 900 + x + -0.225x Combine like terms: -700 + 900 = 200 6676 = 200 + x + -0.225x Combine like terms: x + -0.225x = 0.775x 6676 = 200 + 0.775x Solving 6676 = 200 + 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. 6676 + -0.775x = 200 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 6676 + -0.775x = 200 + 0.000 6676 + -0.775x = 200 Add '-6676' to each side of the equation. 6676 + -6676 + -0.775x = 200 + -6676 Combine like terms: 6676 + -6676 = 0 0 + -0.775x = 200 + -6676 -0.775x = 200 + -6676 Combine like terms: 200 + -6676 = -6476 -0.775x = -6476 Divide each side by '-0.775'. x = 8356.129032 Simplifying x = 8356.129032
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