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Simplifying 0.50x + 0.50(70) = 0.25(82) Multiply 0.50 * 70 0.50x + 35 = 0.25(82) Reorder the terms: 35 + 0.50x = 0.25(82) Multiply 0.25 * 82 35 + 0.50x = 20.5 Solving 35 + 0.50x = 20.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 0.50x = 20.5 + -35 Combine like terms: 35 + -35 = 0 0 + 0.50x = 20.5 + -35 0.50x = 20.5 + -35 Combine like terms: 20.5 + -35 = -14.5 0.50x = -14.5 Divide each side by '0.50'. x = -29 Simplifying x = -29
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