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Simplifying 0.06x + 0.08(100 + -1x) = 6.5 0.06x + (100 * 0.08 + -1x * 0.08) = 6.5 0.06x + (8 + -0.08x) = 6.5 Reorder the terms: 8 + 0.06x + -0.08x = 6.5 Combine like terms: 0.06x + -0.08x = -0.02x 8 + -0.02x = 6.5 Solving 8 + -0.02x = 6.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.02x = 6.5 + -8 Combine like terms: 8 + -8 = 0 0 + -0.02x = 6.5 + -8 -0.02x = 6.5 + -8 Combine like terms: 6.5 + -8 = -1.5 -0.02x = -1.5 Divide each side by '-0.02'. x = 75 Simplifying x = 75
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