Jet, I'm going to step through what I think you want to do so: a)I can wrap my head around it, and b)so others can see it and correct me if I am wrong.
Here's how I would do it:
In your office you have a wall plate with phone jack. That jack is using the blue pair of a cat-5 cable.
Get a cat-5 jack and put the orange and green pairs on it according to the Cat5B spec (Should be color coded right on the jack but if not 1-orange, 2-white/orange, 3-white/green, 6-green. You will have to get another wall plate to accommodate the new jack (or adapt to whatever you are already doing - the important part is to end up with a blue wired phone jack and orange/green wired data jack)
Why Cat5-B? Because that's what I always do - if I never deviate, I don't get as confused. You can use A if you like, there is no difference. Just be sure to remain consistent all the way through.
Now on THE OTHER END of that cat 5 cable is where I assume you have the 110 block. I think that's complicating things unnecessarily. SO I would just put the Orange and green pairs on another cat-5 jack JUST LIKE you did in the office. orange, whiteorange, whitegreen,green on pins 1,2,3 and 6.
Now just get a regular (not a crossover or anything exotic) patch cable to go from office jack to xbox and from equipment room jack to switch and you are done except for whatever config the xbox needs.
I'm not saying that is the only way to do it but I am 99% sure my way will work just fine.
=======================================
"I am owed. I've never got paid. A dude with a pencil is worse than a cat with a machine gun" Bo Diddley R.I.P.
December 30, 1928 - June 02, 2008