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4^x+1=8^2x-3
We move all terms to the left:
4^x+1-(8^2x-3)=0
We get rid of parentheses
4^x-8^2x+3+1=0
We add all the numbers together, and all the variables
4^x-8^2x+4=0
We move all terms containing x to the left, all other terms to the right
4^x-8^2x=-4
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