Speed solving

Let a two digit integer be of the form 9x9^{\color{#20A900}x} for some integer x{\color{#20A900}x}.

If we reverse the digits of the two digit number, it will be of the form 9x9{\color{#20A900}x}.

What is the value of x\color{#20A900}x?

This problem is a part of the set Brain Games.
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