Generalized Collatz problem mx+r

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I'm looking for scientific papers on $9x+r$ and $11x+r$ problem. I once read a paper in which it was stated that no cycles were found in these sequences and probably all sequences are divergent to infinity.

Can anyone help me find it?

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Maybe the end of On the “3x+1” problem by R. E Crandall in 1978. He studies the qx+r problem.