English Translation
Let me explain something to you.
Why is it explique and no explico or explicarte? What was the subjunctive trigger?
If I’m not mistaken, the subjunctive trigger would be “que”.
As for your suggestions, I don’t quite see a way to use explico without changing the meaning of the sentence. You could, however, reorganise the sentence a bit (incidentally removing the subjunctive trigger) to use explicarte: “Déjame explicarte algo”
I think that’s a bit too broad, as there are many instances where que is followed by the indicative.
Instead, I think it’s valuable to think about the pattern “dejar/hacer/permitir que” being the trigger. It’s about letting or making somebody do something. Here you’re asking somebody to let you explain.
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