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Simplifying 0.06x + 0.08(1500 + -1x) = 110 0.06x + (1500 * 0.08 + -1x * 0.08) = 110 0.06x + (120 + -0.08x) = 110 Reorder the terms: 120 + 0.06x + -0.08x = 110 Combine like terms: 0.06x + -0.08x = -0.02x 120 + -0.02x = 110 Solving 120 + -0.02x = 110 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -0.02x = 110 + -120 Combine like terms: 120 + -120 = 0 0 + -0.02x = 110 + -120 -0.02x = 110 + -120 Combine like terms: 110 + -120 = -10 -0.02x = -10 Divide each side by '-0.02'. x = 500 Simplifying x = 500
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