You will depart from the standard Android UI design and users may be more confused, while you want them to be happy.
If you must do this, then I would put only one button for all edittextviews and write it's event's sub so that it clears only the
edittext that has the focus at that moment. You can put the button anywhere in the layout.
Of course the shake idea is a nice joke and I would add to it, that after shaking well then pour the text in a trash bin by changing the orientation