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Simplifying 0.80x + 0.20(200) = 0.40(120) Multiply 0.20 * 200 0.80x + 40 = 0.40(120) Reorder the terms: 40 + 0.80x = 0.40(120) Multiply 0.40 * 120 40 + 0.80x = 48 Solving 40 + 0.80x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.80x = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 0.80x = 48 + -40 0.80x = 48 + -40 Combine like terms: 48 + -40 = 8 0.80x = 8 Divide each side by '0.80'. x = 10 Simplifying x = 10
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