Yes, you should be able to move the router to another cable outlet. Are the cable boxes wireless? If so, as long as you don't move the router too far away, you should still get a good wifi signal. If the cable boxes are wired and connected to a cable outlet, then they don't even need the router to deliver cable TV channels. Xfinity (Comcast) cable channels and some apps are delivered through the cable, even if you don't have internet service.
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