Being a 2013 model, it's doubtful its a DX7, should be a DX5 or possibly a DX6 - but regardless pretty much same build other than performance...
You should be able to pull off the damper and attach a syringe with cleaning fluid directly to the magenta channels -- BUT, I would strongly advise doing a few head soaks first before doing the flush. Use a regular coffee filter, cut it slightly larger than your capping station, lay it on the cap, soak it with solvent and let it sit for about 20-30 minutes. Remove, run a cleaning cycle... If you start getting nozzles back, repeat the process again and again...as long as you're getting nozzles back stay on this path.
The danger of flushing the head with a syringe is that you can put too much pressure through the head and blow the seals. FWIW - when I've flushed DX5 heads, they won't "spray" like a DX4 - more like dribble, and if you are spraying you're using too much pressure. Again, I stress just push enough to make fluid dribble out, nothing more or you risk damaging your head.
