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Simplifying 0.80x + 0.20(60) = 0.40(114) Multiply 0.20 * 60 0.80x + 12 = 0.40(114) Reorder the terms: 12 + 0.80x = 0.40(114) Multiply 0.40 * 114 12 + 0.80x = 45.6 Solving 12 + 0.80x = 45.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.80x = 45.6 + -12 Combine like terms: 12 + -12 = 0 0 + 0.80x = 45.6 + -12 0.80x = 45.6 + -12 Combine like terms: 45.6 + -12 = 33.6 0.80x = 33.6 Divide each side by '0.80'. x = 42 Simplifying x = 42
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