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Simplifying 0.40x + 0.50(40) = 0.20(106) Multiply 0.50 * 40 0.40x + 20 = 0.20(106) Reorder the terms: 20 + 0.40x = 0.20(106) Multiply 0.20 * 106 20 + 0.40x = 21.2 Solving 20 + 0.40x = 21.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.40x = 21.2 + -20 Combine like terms: 20 + -20 = 0 0 + 0.40x = 21.2 + -20 0.40x = 21.2 + -20 Combine like terms: 21.2 + -20 = 1.2 0.40x = 1.2 Divide each side by '0.40'. x = 3 Simplifying x = 3
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