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Simplifying 0.60x + 0.05(20 + -1x) = 0.10(54) 0.60x + (20 * 0.05 + -1x * 0.05) = 0.10(54) 0.60x + (1 + -0.05x) = 0.10(54) Reorder the terms: 1 + 0.60x + -0.05x = 0.10(54) Combine like terms: 0.60x + -0.05x = 0.55x 1 + 0.55x = 0.10(54) Multiply 0.10 * 54 1 + 0.55x = 5.4 Solving 1 + 0.55x = 5.4 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 + 0.55x = 5.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.55x = 5.4 + -1 0.55x = 5.4 + -1 Combine like terms: 5.4 + -1 = 4.4 0.55x = 4.4 Divide each side by '0.55'. x = 8 Simplifying x = 8
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