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25x+1-3\times 5^{2}x-1=550
Calculate 5 to the power of 2 and get 25.
25x+1-3\times 25x-1=550
Calculate 5 to the power of 2 and get 25.
25x+1-75x-1=550
Multiply 3 and 25 to get 75.
-50x+1-1=550
Combine 25x and -75x to get -50x.
-50x=550
Subtract 1 from 1 to get 0.
x=\frac{550}{-50}
Divide both sides by -50.
x=-11
Divide 550 by -50 to get -11.