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Simplifying 0.12x + 0.07(6000 + -1x) = 570 0.12x + (6000 * 0.07 + -1x * 0.07) = 570 0.12x + (420 + -0.07x) = 570 Reorder the terms: 420 + 0.12x + -0.07x = 570 Combine like terms: 0.12x + -0.07x = 0.05x 420 + 0.05x = 570 Solving 420 + 0.05x = 570 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 0.05x = 570 + -420 Combine like terms: 420 + -420 = 0 0 + 0.05x = 570 + -420 0.05x = 570 + -420 Combine like terms: 570 + -420 = 150 0.05x = 150 Divide each side by '0.05'. x = 3000 Simplifying x = 3000
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