50 terms are bad enough, but this?!?!

Level pending

The sequence: \(x,10x+7,10(10x+7)+7,10(10(10x+7)+7)+7,....\) \(1<x<9\)

Where each term, after the first, is \(7\) more than \(10\) times the previous term. For what value of \(x\) will the \(50th\) term be a multiple of \(9\)?

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