Put Differently

Proposition 1: Unless you were going to follow what you just said with exactly the same thing, there is absolutely no reason to insert the phrase "in other words" into your sentence or paragraph.

Proof: Suppose I am tired. Suppose further I wish to express this. Possible ways to do this:

I am tired. In other words, I feel like sleeping.
I am tired. In similar words, I am tired.

Lemma 1: This is exhausting.
Lemma 2: I am not actually tired.
Lemma 3: Yours truly is violently misusing the lemma.

Q.E.D.