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Simplifying 0.85x + 0.05(20 + -1x) = 0.10(42) 0.85x + (20 * 0.05 + -1x * 0.05) = 0.10(42) 0.85x + (1 + -0.05x) = 0.10(42) Reorder the terms: 1 + 0.85x + -0.05x = 0.10(42) Combine like terms: 0.85x + -0.05x = 0.8x 1 + 0.8x = 0.10(42) Multiply 0.10 * 42 1 + 0.8x = 4.2 Solving 1 + 0.8x = 4.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.8x = 4.2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8x = 4.2 + -1 0.8x = 4.2 + -1 Combine like terms: 4.2 + -1 = 3.2 0.8x = 3.2 Divide each side by '0.8'. x = 4 Simplifying x = 4
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