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Simplifying 0.08x + 0.06(1250 + -1x) = 86 0.08x + (1250 * 0.06 + -1x * 0.06) = 86 0.08x + (75 + -0.06x) = 86 Reorder the terms: 75 + 0.08x + -0.06x = 86 Combine like terms: 0.08x + -0.06x = 0.02x 75 + 0.02x = 86 Solving 75 + 0.02x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 0.02x = 86 + -75 Combine like terms: 75 + -75 = 0 0 + 0.02x = 86 + -75 0.02x = 86 + -75 Combine like terms: 86 + -75 = 11 0.02x = 11 Divide each side by '0.02'. x = 550 Simplifying x = 550
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