Đáp án đúng: D
Giải chi tiết:\(\begin{array}{l}\,\,{\left( {7x - 25} \right)^3} = {2^5}{.5^2} + 200\\\,\,{\left( {7x - 25} \right)^3} = 32.25 + 200\\\,\,{\left( {7x - 25} \right)^3} = 800 + 200\\\,\,{\left( {7x - 25} \right)^3} = 1000\\\,\,{\left( {7x - 25} \right)^3} = {10^3}\\\,\,\,7x - 25\,\,\,\,\,\,\, = 10\\\,\,\,\,\,\,\,\,7x\,\,\,\,\,\,\,\,\,\,\,\, = 35\\\,\,\,\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\, = 5\end{array}\)
Vậy \(x = 5.\)
Chọn D.