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Simplifying 0.17x + 0.07(6000 + -1x) = 6000 0.17x + (6000 * 0.07 + -1x * 0.07) = 6000 0.17x + (420 + -0.07x) = 6000 Reorder the terms: 420 + 0.17x + -0.07x = 6000 Combine like terms: 0.17x + -0.07x = 0.1x 420 + 0.1x = 6000 Solving 420 + 0.1x = 6000 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 + 0.1x = 6000 + -420 Combine like terms: 420 + -420 = 0 0 + 0.1x = 6000 + -420 0.1x = 6000 + -420 Combine like terms: 6000 + -420 = 5580 0.1x = 5580 Divide each side by '0.1'. x = 55800 Simplifying x = 55800
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