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Simplifying 0.025x + 0.05(1800 + -1x) = 75.50 0.025x + (1800 * 0.05 + -1x * 0.05) = 75.50 0.025x + (90 + -0.05x) = 75.50 Reorder the terms: 90 + 0.025x + -0.05x = 75.50 Combine like terms: 0.025x + -0.05x = -0.025x 90 + -0.025x = 75.50 Solving 90 + -0.025x = 75.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -0.025x = 75.50 + -90 Combine like terms: 90 + -90 = 0 0 + -0.025x = 75.50 + -90 -0.025x = 75.50 + -90 Combine like terms: 75.50 + -90 = -14.5 -0.025x = -14.5 Divide each side by '-0.025'. x = 580 Simplifying x = 580
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