Things that are going to add unnecessary weight are thick barrels, heavy bottom metal/mag combinations, heavy scopes, steel bases/rings, large non "Edge" filled stocks and long actions.
I went with the following for my light weight
#3, 24.5" Broughton in 6.5x47 Lapua
McMillan Rem Sporter Edge filled
Rifle Basix trigger @ 2.5 lbs
PTG alum BDL BM with std Rem box and follower
PTG round bolt knob
That got me to 6 lb 11 oz.
I then added a proprietary Pierce 20 moa alum base, Farrell alum 30mm rings, bubble level and a NF 2.5-10x32mm scope with NP-R2 reticle
By the time I add a Harrell 2-port brake, stock pack with 17 rounds of ammo, a TAB Gear sling, Leupold scope cover and Snipepod it's up to 10 lbs 7 oz.
It shoots too. 127 gr barnes LRX running 2800 with Varget @ 818 yds on 8" steel plate.
Going lighter would mean using a Pierce Titanium action, Leupold scope and ADL blind mag.