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Simplifying 0.80x + 0.20(110) = 0.40(75) Multiply 0.20 * 110 0.80x + 22 = 0.40(75) Reorder the terms: 22 + 0.80x = 0.40(75) Multiply 0.40 * 75 22 + 0.80x = 30 Solving 22 + 0.80x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 0.80x = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 0.80x = 30 + -22 0.80x = 30 + -22 Combine like terms: 30 + -22 = 8 0.80x = 8 Divide each side by '0.80'. x = 10 Simplifying x = 10
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