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    Arnold Schwarzenegger Speaks: He and Maria "Love Each Other Very Much"

    Arnold Schwarzenegger Jason Merritt/Getty Images For The Consulate General of Israel

    Arnold Schwarzenegger is keeping a stiff upper lip.

    "I want to take a moment and thank our many friends and family for the tremendous amount of support and love that you have given us in the last 24 hours," the actor and former governor of California said tonight, speaking at the 63rd Israel Independence Day Celebration at Los Angeles' Skirball Center.

    He and his wife of 25 years, Maria Shriver, announced that they had separated just yesterday.


    PHOTOS: Schwarzenegger & Shriver—From True Bliss to Terminated

    "I just spoke to Maria an hour ago before I came here," Schwarzenegger continued. "We both were saying the same thing—we're extremely blessed to be surrounded by so many wonderful people, by so many wonderful friends."

    "We both love each other very much," he said. "We're very fortunate to have four extraordinary children. And we're taking it one day at a time. The bottom line is we want to thank all the people for their great, great support."

    Two of their children took to Twitter to address friends and fans. "Just wanted to thank everyone for the sweet comments and ur concern and love in this changing time! It means a lot! Xo," wrote eldest daughter Katherine.

    The couple's oldest son, Patrick, also weighed in. "Appreciate all your messages," he tweeted, two days after his most serious concern appeared to be the Lakers being bounced from the playoffs. "Small speed bump I'n life, luckily we own hummers, we will cruise right over it. All will be okay. ."

    Shriver took the college-bound 17-year-old and some of his friends on a tour of East Coast schools this spring.

    E! News cameras spotted Schwarzenegger leaving Barneys New York in Beverly Hills earlier today. He didn't respond to questions about his current situation, but smiled and waved at the paparazzi as he drove away.

    WATCH: More on Arnold and Maria's split