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Simplifying 0.50x + 0.35(50) = 49.5 Multiply 0.35 * 50 0.50x + 17.5 = 49.5 Reorder the terms: 17.5 + 0.50x = 49.5 Solving 17.5 + 0.50x = 49.5 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 = 49.5 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 0.50x = 49.5 + -17.5 0.50x = 49.5 + -17.5 Combine like terms: 49.5 + -17.5 = 32 0.50x = 32 Divide each side by '0.50'. x = 64 Simplifying x = 64
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