Unless you plan to take a taxi to the theater (in which case you should allow at least 40 minutes for the drive in case of traffic jams), the simplest way to reach the Bolshoi Theater is to take the metro from Paveletskaya Metro Station (less than ten minutes' walk from, the hotel) and travel north on the dark-green line two stops to Teatralnaya Station, which is around 50m from the theatre.
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