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Searching for VirtualBox
The easy way to find VirtualBox's software is to simply start typing its name into the search box on the upper right. Once that's done, you'll want to install virtualbox-nonfree. The "nonfree" here means that the program contains some proprietary code. It still doesn't cost you a thin dime to run. You'll want to install the virtualbox-guest-additions-iso, but you won't need to work with it immediately.
Installing VirtualBox with Mint Software Manager
Once you hit the install button, VirtualBox should start installing without any trouble. You may have heard that Linux programs are hard to install. That hasn't been true in ages.
Installing VirtualBox guest addons
As I said earlier, you'll also want to "install" virtualbox-guest-additions-iso. Actually, all you're really doing is downloading a file. Once you have XP, or another guest operating system installed, you'll use this file to add additional functionality to your new VM.