If one of the independent clauses is less important than the other, turn it into a subordinate clause or phrase.
Minor ideas in these sentences are now expressed in subordinate clauses or phrases.
Related topic:
independent clause A word group containing a subject and a verb that can or does stand alone as a sentence.
subordinate clause A word group containing a subject and a verb that cannot stand alone as a sentence because it begins with a word that marks it as subordinate (such as although, because, who, or that).
phrase A word group that lacks a subject, a verb, or both.