Cash Register wont print?

It sounds like you have the wrong paper or it is not inserted correctly. You should be using thermal paper. If you check the paper carefully, it will have a shiny side and a rough side. The shiny side must face the front when coming out of the machine or you will get blank paper feeding out.
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If anyone needs a manual for the royal Alpha 583cx cash register, one of the users has it here:

http://the-checkout-tech.com/manuals/cashregisters/Royal_Alpha-583cx_instruction_programming_manual.html

Registerman
April 2013