jump on it! The gray matter e expansion holds shedloads of sounds, more than any cartridge.
There are two types of cartridges, ROM carts that contain 64 sounds and can't be written to, and RAM carts that hold 32 patches (excluding crazy 3rd party ones which could hold more)
Two ROM carts came with the synth, the sounds on them can be found online and dumped into the synth, some classic (and some crap) sounds in there. You can download a sip file of these sounds (and 1000s more) from the internet and dump them into the synth via MIDI and tools like sendsx or sound diver.
A stock DX7 has 32 memories, not alot, and in that case, I'd recommend a cartridge or 2, or a new aftermarket memory expansion, but as you have E! Don't bother with carts, they're pretty little curios but you'll have lots of fun dumping 100's of sounds into the E! DX7.