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Simplifying 0.85X + 0.05(8 + -1X) = 0.10(20) 0.85X + (8 * 0.05 + -1X * 0.05) = 0.10(20) 0.85X + (0.4 + -0.05X) = 0.10(20) Reorder the terms: 0.4 + 0.85X + -0.05X = 0.10(20) Combine like terms: 0.85X + -0.05X = 0.8X 0.4 + 0.8X = 0.10(20) Multiply 0.10 * 20 0.4 + 0.8X = 2 Solving 0.4 + 0.8X = 2 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 + 0.8X = 2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.8X = 2 + -0.4 0.8X = 2 + -0.4 Combine like terms: 2 + -0.4 = 1.6 0.8X = 1.6 Divide each side by '0.8'. X = 2 Simplifying X = 2
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