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Simplifying -0.507(7000) + 0.5x = 0.03(7000 + x) Multiply -0.507 * 7000 -3549 + 0.5x = 0.03(7000 + x) -3549 + 0.5x = (7000 * 0.03 + x * 0.03) -3549 + 0.5x = (210 + 0.03x) Solving -3549 + 0.5x = 210 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -3549 + 0.5x + -0.03x = 210 + 0.03x + -0.03x Combine like terms: 0.5x + -0.03x = 0.47x -3549 + 0.47x = 210 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -3549 + 0.47x = 210 + 0.00 -3549 + 0.47x = 210 Add '3549' to each side of the equation. -3549 + 3549 + 0.47x = 210 + 3549 Combine like terms: -3549 + 3549 = 0 0 + 0.47x = 210 + 3549 0.47x = 210 + 3549 Combine like terms: 210 + 3549 = 3759 0.47x = 3759 Divide each side by '0.47'. x = 7997.87234 Simplifying x = 7997.87234
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