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7^x/2=13
We move all terms to the left:
7^x/2-(13)=0
We multiply all the terms by the denominator
7^x-13*2=0
We add all the numbers together, and all the variables
7^x-26=0
We move all terms containing x to the left, all other terms to the right
7^x=26
x=26/1
x=26
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