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Simplifying 0.50x + 0.65(80) + 0.25(122) = 0 Multiply 0.65 * 80 0.50x + 52 + 0.25(122) = 0 Multiply 0.25 * 122 0.50x + 52 + 30.5 = 0 Reorder the terms: 52 + 30.5 + 0.50x = 0 Combine like terms: 52 + 30.5 = 82.5 82.5 + 0.50x = 0 Solving 82.5 + 0.50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82.5' to each side of the equation. 82.5 + -82.5 + 0.50x = 0 + -82.5 Combine like terms: 82.5 + -82.5 = 0.0 0.0 + 0.50x = 0 + -82.5 0.50x = 0 + -82.5 Combine like terms: 0 + -82.5 = -82.5 0.50x = -82.5 Divide each side by '0.50'. x = -165 Simplifying x = -165
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