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2^(2x)=55.5
We move all terms to the left:
2^(2x)-(55.5)=0
We add all the numbers together, and all the variables
2^2x-55.5=0
We move all terms containing x to the left, all other terms to the right
2^2x=55.5
x=55.5/1
x=55.5
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