Every time I print I see thin white lines or smearing

[#1]

I create designs in both Indesign and Illustrator and every time I print, I see these thin white lines appear. These lines are not at all present in my work and could appear directly in the middle of the shape. I have tried printing directly from Illustrator and tried converting to PDF under multiple settings (turning off editing, the different modes, preventing fast web view, etc.), PNG, and JPEG. Each time I print I still see these lines. Does anyone know what to do about it? It is hitting the point where I might need to find an alternative design tool. This happens on every document no matter how new. It is also not a printer problem as I got a new printer and can print even a solid black box off Word and not see these lines. 

[#2]

Would need to see the artwork in order to check out if it's the printer or Illustrator.

[#3]

If you click the jpg on the post, I show you the final product. it should not be printer because this is happening on multiple printers. if I take a screenshot of the pdf and paste in in Word and print the lines aren't there. 

[#4]

Yes, but still need to see the artwork in order to check out what might have caused it. Also:what kind of printer is it?