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Simplifying 0.07x + 0.09(6000 + -1x) = 516 0.07x + (6000 * 0.09 + -1x * 0.09) = 516 0.07x + (540 + -0.09x) = 516 Reorder the terms: 540 + 0.07x + -0.09x = 516 Combine like terms: 0.07x + -0.09x = -0.02x 540 + -0.02x = 516 Solving 540 + -0.02x = 516 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + -540 + -0.02x = 516 + -540 Combine like terms: 540 + -540 = 0 0 + -0.02x = 516 + -540 -0.02x = 516 + -540 Combine like terms: 516 + -540 = -24 -0.02x = -24 Divide each side by '-0.02'. x = 1200 Simplifying x = 1200
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