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Simplifying 0.40x + 0.10(100) = 0.20(52) Multiply 0.10 * 100 0.40x + 10 = 0.20(52) Reorder the terms: 10 + 0.40x = 0.20(52) Multiply 0.20 * 52 10 + 0.40x = 10.4 Solving 10 + 0.40x = 10.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.40x = 10.4 + -10 Combine like terms: 10 + -10 = 0 0 + 0.40x = 10.4 + -10 0.40x = 10.4 + -10 Combine like terms: 10.4 + -10 = 0.4 0.40x = 0.4 Divide each side by '0.40'. x = 1 Simplifying x = 1
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