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Simplifying 0.09x + 0.08(100 + -1x) = 8.5 0.09x + (100 * 0.08 + -1x * 0.08) = 8.5 0.09x + (8 + -0.08x) = 8.5 Reorder the terms: 8 + 0.09x + -0.08x = 8.5 Combine like terms: 0.09x + -0.08x = 0.01x 8 + 0.01x = 8.5 Solving 8 + 0.01x = 8.5 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 + 0.01x = 8.5 + -8 Combine like terms: 8 + -8 = 0 0 + 0.01x = 8.5 + -8 0.01x = 8.5 + -8 Combine like terms: 8.5 + -8 = 0.5 0.01x = 0.5 Divide each side by '0.01'. x = 50 Simplifying x = 50
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