This thread is resolved. Here is a description of the problem and solution.
Problem: I see backslashes with every (double) quote character
Solution: Please go to Dashboard > Updates > Press Check Again Button > Press "Update Translations" Button.
Then please return to the string that has the backslashes (not in String Translation but in the actual source of the string) and re-save the page. then go to WPML > String Translation and translate Normally.
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