My car shakes when I drive it and does not run smoothly. And steering my car was hard and stiff.
This sounds like you may have more than one problem. The hard steering may be a broke belt or loss of power steering fluid. If fluid got on engine it may cause a misfire. The only way to tell is to have your vehicle checked out. I would recommend having a mechanic, such as one from YourMechanic, inspect your vehicle's shaking issue and diagnose your steering wheel trouble.
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