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The Palm Desert Police Department has made it clear that they believe Lindsay Lohan violated "several terms" of her probation due to an alleged altercation with Betty Ford employee Dawn Holland.

We just caught up with Linds (and her workout pal) on her way into Equinox in West Hollywood this morning and our photog asked her about the night in question: Was LiLo under the influence of anything and did she refuse to take a breathalyzer test?

Lindsay answered us with a strong, "No."

Check out the three-minute vid of Linds above trying to find the entrance into Equinox and laughing the whole time. We've missed that cheerful face!