You can't hide all of the icons in Linux Mint Cinnamon. You can, however, hide the system icons from showing on the desktop. To do so, open the System Settings menu by clicking the Menu button, selecting "Preferences" and then "System Settings"., This is located in the "Preferences" section.
 You can turn off the Computer, Home, Trash, Mounted Volumes, and Network Servers. Changes take place immediately.
Open the System Settings menu.
Open the "Desktop" option.
Uncheck the icons you want to hide.
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