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Simplifying 0.40x + 0.80(30) = 0.20(82) Multiply 0.80 * 30 0.40x + 24 = 0.20(82) Reorder the terms: 24 + 0.40x = 0.20(82) Multiply 0.20 * 82 24 + 0.40x = 16.4 Solving 24 + 0.40x = 16.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.40x = 16.4 + -24 Combine like terms: 24 + -24 = 0 0 + 0.40x = 16.4 + -24 0.40x = 16.4 + -24 Combine like terms: 16.4 + -24 = -7.6 0.40x = -7.6 Divide each side by '0.40'. x = -19 Simplifying x = -19
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