Report: White House approached Schwarzenegger about Cabinet position

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It's also not clear why Schwarzenegger declined the offer, although just months later it was revealed that the former governor had carried out a prolonged affair with his housekeeper. In May of 2011, it was revealed that Schwarzenegger had a child out of wedlock with 50-year-old Mildred Patricia Baena, a longtime employee of the governor and Maria Shriver.