Can I tow my new camper safely

I just bought a new camper with a UVW of 8130# towing with a 2008 chevy 1500 4x4 w/5.3L motor and 3.73 gears.

I talked to me local chevy dealer and they told me I would be fine. The truck driver side panel says I can tow 7500#.

bmaccue wrote:
The camper I just bought was a 30ft TT Palomino. Even the camper place where I bought it said I could tow it fine. Are they pulling me leg?