Press Alt + F2 and enter `gconf-editor`. Navigate the tree menu to desktop > gnome > session > required-components. Now, replace the `windowmanager` key with the window manager of your choice. Just replace gnome-wm (or metacity) with mutter.
Another possible solution:
You could add `mutter --replace` to **System** > **Preferences** > **Startup Applications** which opens **`gnome-session-properties`** program:
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