I have to get my tape recorder fixed.

Literal

I [of-の] tape-recorder [topic-は] repair do-not-if not-acceptable.

修理する ('to repair') as a noun+する verb. The obligation pattern ~なくちゃいけない is the casual contraction of ~なくてはいけない — 'if not doing, it won't do,' i.e. 'must do.' Colloquial and very common in spoken Japanese. More casual than the formal ~なければならない.