My iphone won't let me delete songs?

After i installed my ios 7, all my previous purchases were installed into my phone, taking up memory. And ahving to skip songs continuously. Its getting very annoying and i tried installing it and delting it but the cloud mark comes back and it just stays there. How can i permenatly delte them?

Added (1). and i went in to settings and when i press "hide songs" or something like that it will play wrong songs and play the songs i delted.

They don't permanently delete. I know it sucks. It has this like arrow to re-download it. When that is there it is technically deleted. It should give you more space though.

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