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Simplifying 0.40x + 0.10(10) = 0.20(31) Multiply 0.10 * 10 0.40x + 1 = 0.20(31) Reorder the terms: 1 + 0.40x = 0.20(31) Multiply 0.20 * 31 1 + 0.40x = 6.2 Solving 1 + 0.40x = 6.2 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 + 0.40x = 6.2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.40x = 6.2 + -1 0.40x = 6.2 + -1 Combine like terms: 6.2 + -1 = 5.2 0.40x = 5.2 Divide each side by '0.40'. x = 13 Simplifying x = 13
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