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Simplifying 0.10x + 0.05(20 + -1x) = 0.10(11) 0.10x + (20 * 0.05 + -1x * 0.05) = 0.10(11) 0.10x + (1 + -0.05x) = 0.10(11) Reorder the terms: 1 + 0.10x + -0.05x = 0.10(11) Combine like terms: 0.10x + -0.05x = 0.05x 1 + 0.05x = 0.10(11) Multiply 0.10 * 11 1 + 0.05x = 1.1 Solving 1 + 0.05x = 1.1 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 + 0.05x = 1.1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05x = 1.1 + -1 0.05x = 1.1 + -1 Combine like terms: 1.1 + -1 = 0.1 0.05x = 0.1 Divide each side by '0.05'. x = 2 Simplifying x = 2
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