Sure! Here are the rewritten sentences:

1. I like dogs; he does too. (both ... and)

**Answer:** I like dogs, and so does he.

2. I don't like dogs; he doesn't like them either. (Neither ... nor)

**Answer:** Neither I nor he likes dogs.

3. I like either dogs or cats.

**Answer:** I like dogs or cats.

4. You need to wait for me here, or I will get angry.

**Answer:** If you don’t wait for me here, I will get angry.

5. I didn't want either a cake or an apple.

**Answer:** I didn't want a cake nor an apple.

6. She enjoys eating meat; she also enjoys drinking milk. (Not only)

**Answer:** She likes not only to eat meat but also to drink milk.

7. The dog and the cat are both looking at you.

**Answer:** Both the dog and the cat are looking at you.