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Simplifying 0.80x + 0.20(50) = 0.40(117) Multiply 0.20 * 50 0.80x + 10 = 0.40(117) Reorder the terms: 10 + 0.80x = 0.40(117) Multiply 0.40 * 117 10 + 0.80x = 46.8 Solving 10 + 0.80x = 46.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.80x = 46.8 + -10 Combine like terms: 10 + -10 = 0 0 + 0.80x = 46.8 + -10 0.80x = 46.8 + -10 Combine like terms: 46.8 + -10 = 36.8 0.80x = 36.8 Divide each side by '0.80'. x = 46 Simplifying x = 46
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