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Simplifying 0.03x + 0.10(38500 + -1x) = 2590 0.03x + (38500 * 0.10 + -1x * 0.10) = 2590 0.03x + (3850 + -0.1x) = 2590 Reorder the terms: 3850 + 0.03x + -0.1x = 2590 Combine like terms: 0.03x + -0.1x = -0.07x 3850 + -0.07x = 2590 Solving 3850 + -0.07x = 2590 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3850' to each side of the equation. 3850 + -3850 + -0.07x = 2590 + -3850 Combine like terms: 3850 + -3850 = 0 0 + -0.07x = 2590 + -3850 -0.07x = 2590 + -3850 Combine like terms: 2590 + -3850 = -1260 -0.07x = -1260 Divide each side by '-0.07'. x = 18000 Simplifying x = 18000
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