\(\left(\sqrt{x}+7-3\sqrt{2}\right)\sqrt{3}=\sqrt{6}\\ \Rightarrow\left(\sqrt{x}+7-3\sqrt{2}\right)=\sqrt{3.6}=\sqrt{18}=3\sqrt{2}\\ \Rightarrow\sqrt{x}=3\sqrt{2}+3\sqrt{2}-7=6\sqrt{2}-7\\ \Rightarrow x=\left(6\sqrt{2}-7\right)^2=72-84\sqrt{2}+49=121-84\sqrt{2}\)