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Simplifying 0.80x + 0.20(140) = 0.40(118) Multiply 0.20 * 140 0.80x + 28 = 0.40(118) Reorder the terms: 28 + 0.80x = 0.40(118) Multiply 0.40 * 118 28 + 0.80x = 47.2 Solving 28 + 0.80x = 47.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 0.80x = 47.2 + -28 Combine like terms: 28 + -28 = 0 0 + 0.80x = 47.2 + -28 0.80x = 47.2 + -28 Combine like terms: 47.2 + -28 = 19.2 0.80x = 19.2 Divide each side by '0.80'. x = 24 Simplifying x = 24
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