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Madonna’s “Madame X” tour sold out its Brooklyn and LA shows in just an hour on Monday morning, we hear — and the star will add more dates at BAM and The Wiltern, sources said.

The “Like A Prayer” icon announced Monday that her intimate “Madame X” tour will kick off with seven dates at the venerable BAM Howard Gilman Opera House, with subsequent stops at LA’s storied The Wiltern as well as theaters in Chicago, Miami, Las Vegas, Boston and Philadelphia.

Super producer and DJ Diplo helped announce the tour in a tongue-in-cheek video with Madonna — in which he shows up in a cowboy outfit to share margaritas with the singer.

“I’m going on a special tour,” Madonna explains. “Are you doing stadiums?” Diplo asks. “Arenas? Coliseums?” The Material Girl says instead, “I’m going on a theater tour … I want to have an intimate experience with my fans.” She figures, “After I do this for a while people will start hiring me to do parties, bar mitzvahs, weddings.”

The tour sold out five dates at BAM and five at The Wiltern. It will move to Lisbon, London and Paris next year.