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Simplifying 0.05x + 0.06(1500 + -1x) = 83.5 0.05x + (1500 * 0.06 + -1x * 0.06) = 83.5 0.05x + (90 + -0.06x) = 83.5 Reorder the terms: 90 + 0.05x + -0.06x = 83.5 Combine like terms: 0.05x + -0.06x = -0.01x 90 + -0.01x = 83.5 Solving 90 + -0.01x = 83.5 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 + -0.01x = 83.5 + -90 Combine like terms: 90 + -90 = 0 0 + -0.01x = 83.5 + -90 -0.01x = 83.5 + -90 Combine like terms: 83.5 + -90 = -6.5 -0.01x = -6.5 Divide each side by '-0.01'. x = 650 Simplifying x = 650
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