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Simplifying 0.50x + 0.20(110) = 0.25(116) Multiply 0.20 * 110 0.50x + 22 = 0.25(116) Reorder the terms: 22 + 0.50x = 0.25(116) Multiply 0.25 * 116 22 + 0.50x = 29 Solving 22 + 0.50x = 29 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 + 0.50x = 29 + -22 Combine like terms: 22 + -22 = 0 0 + 0.50x = 29 + -22 0.50x = 29 + -22 Combine like terms: 29 + -22 = 7 0.50x = 7 Divide each side by '0.50'. x = 14 Simplifying x = 14
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