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Simplifying 0.40x + 0.25(120) = 0.20(82) Multiply 0.25 * 120 0.40x + 30 = 0.20(82) Reorder the terms: 30 + 0.40x = 0.20(82) Multiply 0.20 * 82 30 + 0.40x = 16.4 Solving 30 + 0.40x = 16.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.40x = 16.4 + -30 Combine like terms: 30 + -30 = 0 0 + 0.40x = 16.4 + -30 0.40x = 16.4 + -30 Combine like terms: 16.4 + -30 = -13.6 0.40x = -13.6 Divide each side by '0.40'. x = -34 Simplifying x = -34
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