Be in a position can take either an infinitive clause or an of-V-ing phrase, thus be in a position of having to take back... can be also rewritten as be in a position to take back ...

• 比如说，如果你说有空，而邀请参加的却是你不愿意做的事(到你已经去过10次的当地景点旅游),那么你就可以回绝邀请，或者以后再编一个借口。