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Simplifying 0.80x + 0.40(50) = 0.40(82) Multiply 0.40 * 50 0.80x + 20 = 0.40(82) Reorder the terms: 20 + 0.80x = 0.40(82) Multiply 0.40 * 82 20 + 0.80x = 32.8 Solving 20 + 0.80x = 32.8 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 + 0.80x = 32.8 + -20 Combine like terms: 20 + -20 = 0 0 + 0.80x = 32.8 + -20 0.80x = 32.8 + -20 Combine like terms: 32.8 + -20 = 12.8 0.80x = 12.8 Divide each side by '0.80'. x = 16 Simplifying x = 16
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