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(5^2)^2=5^3^x+1
We move all terms to the left:
(5^2)^2-(5^3^x+1)=0
We add all the numbers together, and all the variables
-(5^3^x+1)+625=0
We get rid of parentheses
-5^3^x-1+625=0
We add all the numbers together, and all the variables
-5^3^x+624=0
We move all terms containing x to the left, all other terms to the right
-5^3^x=-624
x=-624/1
x=-624
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