In this set of rules, is the x in s(x) identical with the x in p(x) or are these two different variables? I didn't find an answer and how to actually search it. 
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Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software. – m_goldberg Feb 08 '20 at 03:36
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Wrong forum indeed. Didn't find where to delete or move it – Feb 09 '20 at 22:01
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1A llittle hard to tell, without any context, but I don't think it would make much sense for the $x$ in $s(x)$ and the $x$ in $p(x)$ to be different. – Gerry Myerson Feb 14 '20 at 11:09