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Simplifying 0.90x + 0.05(8 + -1x) = 0.10(106) 0.90x + (8 * 0.05 + -1x * 0.05) = 0.10(106) 0.90x + (0.4 + -0.05x) = 0.10(106) Reorder the terms: 0.4 + 0.90x + -0.05x = 0.10(106) Combine like terms: 0.90x + -0.05x = 0.85x 0.4 + 0.85x = 0.10(106) Multiply 0.10 * 106 0.4 + 0.85x = 10.6 Solving 0.4 + 0.85x = 10.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.85x = 10.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.85x = 10.6 + -0.4 0.85x = 10.6 + -0.4 Combine like terms: 10.6 + -0.4 = 10.2 0.85x = 10.2 Divide each side by '0.85'. x = 12 Simplifying x = 12
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