IPhone - Manually manage music, new computer?

So, I just got a new computer, installed the latest version of iTunes, plug in my iPhone and want to manually add a couple of songs.

In order to do that, I have to select the "manually manage music and videos" option in iTunes, otherwise, I can't drag and drop songs into my iPhone.

However, in order to do that, iTunes seems to REQUIRE me to wipe all current songs on my iPhone before I can enable the option to manually manage music.

Is there any way around this?

This guide tells us how to transfer songs, videos and photos from computer/itunes to iPhone, and vice versa:
http://www.ipodtransfer.net/how-to-transfer-ipod-file-with-ipod-transfer-software.html

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