Can you clean the toilet with dish soap?

Buy a can of coke, let it sit and then brush the toilet. It cleans it really well.

The dish soap was to help the clogged toilet, it lubes the passage thru the toilet

Yes, if it isn't strong enough you can scrub with a magic eraser.

How to Clean a Toilet With Dish Soap

1. Mix together ¼ cup of dish soap with ¼ cup of water and ¼ cup of baking soda.
2. Pour the solution into the toilet bowl.
3. Use a toilet brush to stir the solution around in the toilet bowl.
4. Allow the solution to sit in the toilet overnight.

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Here's a post that might help - https://chascrazycreations.com/easy-and-weird-toilet-cleaning-hacks-that-work/