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Simplifying 0.90x + 0.05(2 + -1x) = 0.10(18) 0.90x + (2 * 0.05 + -1x * 0.05) = 0.10(18) 0.90x + (0.1 + -0.05x) = 0.10(18) Reorder the terms: 0.1 + 0.90x + -0.05x = 0.10(18) Combine like terms: 0.90x + -0.05x = 0.85x 0.1 + 0.85x = 0.10(18) Multiply 0.10 * 18 0.1 + 0.85x = 1.8 Solving 0.1 + 0.85x = 1.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.85x = 1.8 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.85x = 1.8 + -0.1 0.85x = 1.8 + -0.1 Combine like terms: 1.8 + -0.1 = 1.7 0.85x = 1.7 Divide each side by '0.85'. x = 2 Simplifying x = 2
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