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Simplifying 0.50x + 0.65(80) = 0.25(125) Multiply 0.65 * 80 0.50x + 52 = 0.25(125) Reorder the terms: 52 + 0.50x = 0.25(125) Multiply 0.25 * 125 52 + 0.50x = 31.25 Solving 52 + 0.50x = 31.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 0.50x = 31.25 + -52 Combine like terms: 52 + -52 = 0 0 + 0.50x = 31.25 + -52 0.50x = 31.25 + -52 Combine like terms: 31.25 + -52 = -20.75 0.50x = -20.75 Divide each side by '0.50'. x = -41.5 Simplifying x = -41.5
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