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Dear sir
I purchased Xperia Neo L in May'2013, yesterday suddenly display backlingting is not working, now am in Madagascar, kindly advise me to do rectify, please feel free call me +261 332916087
Repair your phone with SUS if that doesn't work you will have to take it to a Sony repair center, now this is complicated as you only have warranty in the country were the purchase was made.
Update Service (SUS)
http://www.sonymobile.com/gb/tools/update-service/
http://www-support-downloads.sonymobile.com/Software%20Downloads/Update_Service_Setup-2.11.12.5.exe
Bridge (for Mac)
Alternatives on How to backup Xperias
http://talk.sonymobile.com/thread/36355
Don't forget the Kudos