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Simplifying 0.90x + 0.05(16 + -1x) = 0.10(110) 0.90x + (16 * 0.05 + -1x * 0.05) = 0.10(110) 0.90x + (0.8 + -0.05x) = 0.10(110) Reorder the terms: 0.8 + 0.90x + -0.05x = 0.10(110) Combine like terms: 0.90x + -0.05x = 0.85x 0.8 + 0.85x = 0.10(110) Multiply 0.10 * 110 0.8 + 0.85x = 11 Solving 0.8 + 0.85x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.85x = 11 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.85x = 11 + -0.8 0.85x = 11 + -0.8 Combine like terms: 11 + -0.8 = 10.2 0.85x = 10.2 Divide each side by '0.85'. x = 12 Simplifying x = 12
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