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Simplifying 0.50x + 0.25(70) = 0.25(82) Multiply 0.25 * 70 0.50x + 17.5 = 0.25(82) Reorder the terms: 17.5 + 0.50x = 0.25(82) Multiply 0.25 * 82 17.5 + 0.50x = 20.5 Solving 17.5 + 0.50x = 20.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.5' to each side of the equation. 17.5 + -17.5 + 0.50x = 20.5 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 0.50x = 20.5 + -17.5 0.50x = 20.5 + -17.5 Combine like terms: 20.5 + -17.5 = 3 0.50x = 3 Divide each side by '0.50'. x = 6 Simplifying x = 6
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