try loading the default UI scheme. (be sure to save yours out first, though. I wouldn't want you losing your hotkeys and other custom things.) Click on Customize -> Load Custom UI Scheme, (Remember though, save yours out first.) and then select the ame-light or ame-dark (its named something like that.)
Also, have you tested to see whether or not its a problem with your particular object or scene? Cause that changes things as well. Try making a new scene and a cube to see if the giz will pop up on that.
For future reference: there's another toggle besides pressing x, it's in the tools menu I believe, near the bottom somewhere. Many people assume x is the shortcut to this menu item, but they're actually entirely seperate, meaning that you can press x all you want, if you turned the gizmo off in the menu it will stay hidden.
edit: Sorry, I checked and it's in 'views', at the bottom. 'Show Transform Gizmo'
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Is there a master settings reset?
Also, have you tested to see whether or not its a problem with your particular object or scene? Cause that changes things as well. Try making a new scene and a cube to see if the giz will pop up on that.
Even after re setting the scheme it still wont work
edit: Sorry, I checked and it's in 'views', at the bottom. 'Show Transform Gizmo'