> 協力しよう、という提案を無碍{むげ}には断れなくなってしまうのだが

Can someone help me make sense of this?  
協力しよう=let's cooperate  
という提案を=This proposal  
無碍には=Without any obstacle  
断れなくなってしまう=End up becoming unable to refuse  
の=Nominalizer  
だ=copula  
が=But

> Let's cooperate. Without any obstacle I ended up becoming unable to refuse
> this proposal, but...

I think this is how it should be translated, but I am still not sure.
CC BY-SA 3.0
2016-01-02T11:38:03.267
30191
2016-01-03T21:26:35.783
2016-01-02T11:39:13.760
11352
question
grammar words
Making an adverb a topic for a sentence 無碍には
無碍にできない - その物事が重要なもので、いい加減に対処することができないさま
(<http://thesaurus.weblio.jp/content/%E7%84%A1%E7%A2%8D%E3%81%AB%E3%81%A7%E3%81%8D%E3%81%AA%E3%81%84>)

So I think a better translation would be that it became difficult to decline,
it's not such a trivial matter that it can be refused haphazardly.
CC BY-SA 3.0
2016-01-03T21:26:35.783
30215
2016-01-03T21:26:35.783
7238
30191
answer