Which function provide this output?

Hello everyone!
I need a function f(x), where x are positive integers, that provides the following output pattern:
x: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18...
f(x): 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6...
Thanks in advance!

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Hint:
remainder when 1 is divided by 8 is 1, target value is 7, sum of remainder and target value is ...
remainder when 2 is divided by 8 is 2, target value is 6, sum of remainder and target value is ...
I think you mean difference of remainder and target value @Walter Roberson
No, I mean sum. 1 remainder, desired value is 7, sum is 8

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