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Simplifying 0.50x + 0.50(50) = 0.25(82) Multiply 0.50 * 50 0.50x + 25 = 0.25(82) Reorder the terms: 25 + 0.50x = 0.25(82) Multiply 0.25 * 82 25 + 0.50x = 20.5 Solving 25 + 0.50x = 20.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.50x = 20.5 + -25 Combine like terms: 25 + -25 = 0 0 + 0.50x = 20.5 + -25 0.50x = 20.5 + -25 Combine like terms: 20.5 + -25 = -4.5 0.50x = -4.5 Divide each side by '0.50'. x = -9 Simplifying x = -9
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