Hi,
i get my 7790 (six cards) running with windows 7 without no problems.
At the moment i'am using claymores miner, but i remember sg.5.5.5 was running on my rig too !
but you have to set or set_x
GPU_FORCE_64BIT_PTR 1
GPU_MAX_HEAP_SIZE 100
GPU_USE_SYNC_OBJECTS 1
GPU_MAX_ALLOC_PERCENT 100
GPU_SINGLE_ALLOC_PERCENT 100
before in the bat or cmd file !