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The rep tells TMZ the pictures -- which show Aguilera wearing nothing but pasties and a few strands of fabric -- were "taken in the privacy of Ms. Aguilera's home and were used only in a personal exchange between the star and her stylist."

The rep continues, "We find the actions of the hackers and the press who purchased and/or obtained these photos to be irresponsible and actionable."

These photos were taken days after Demi socked Alex Welch in the face -- leaving visible bruises on her left eye and cheek.

Sources close to Welch tell us ... the dancer was simply minding her own business on a private jet leaving Bogota, Colombia ... when Demi "walked up to Alex and with a closed fist, struck her on the left side of her face."

We're told Alex was knocked clean out of her seat -- and had to receive emergency medical attention.

Lovato was immediately removed from the plane and eventually returned home -- and then checked herself into a treatment center shortly after.

The Nate Mott Band posted on it's Facebook page on Wednesday: "Do (sic) to personal reasons Matthew Rutler our guitarist will not be ableto perform at Twin Rivers Casino Friday Night."

They met on neutral ground ... at a hotel in the L.A. area. Tony was in town because his San Antonio Spurs played the Clippers last night -- but based on Eva's gestures and Tony's expressions ... we're guessing there was little hoops strategy discussed.

Right after the news broke that Matt Rutler was getting all cozy with Christina -- the guys from the Nate Mott Band posted Xtina's name and Matt's name all over the "Tags" section of their homepage -- hoping to increase the likelihood that anyone doing a Google search for those two will find their band's website.

But, it seems somebody wasn't happy with the coattail riding ... because the Christina-related tags have since been removed from the website.

Christina couldn't have been too upset -- because she accompanied Matt (below left) to a bar in Newport, Rhode Island on Sunday to watch her new man jam out a few songs with another one of the guys from the band.

Richard Orsinger, Esq. filed Tony's divorce petition on November 19 in Texas. But sources connected with the case tell TMZ ... when Tony hired Orsinger, the lawyer didn't know another one of his clients -- former San Antonio Spurs teammate Brent Barry -- would have a connection to Parker's divorce.

Barry is in the process of getting a divorce from Erin Barry, the woman whom Parker allegedly sexted on the side.

Bottom line ... we're told Orsinger felt it was a conflict of interest to rep both Parker and Barry, so Parker got cut.

But sources tell us Parker is in the process of finding another lawyer and the Texas divorce will proceed. Eva has filed for divorce in Los Angeles.

Memberships at Madge's new sweat factory cost about $160 a month.

Question is ...

TMZ first reported the couple's intention to call it quits. Now Ann Lopez has filed legal docs to make it official.

According to the divorce petition, filed today in L.A. County Superior Court by disso-queen Laura Wasser, Ann cites "irreconcilable differences."

Ann is asking for spousal support and primary physical custody of their 14-year-old daughter.

We're told there is no prenup.

The duo met on the set of Xtina's movie "Burlesque," where Rutler was a production assistant.

The documents, which were stamped at the court in Texas on Friday, were filed using initials only. Unlike Eva's docs, there is no mention of a prenup.