\(\left(\frac{7}{4}-x\right).\frac{30}{55}=\frac{11}{4}-\frac{x}{55}\)
\(\left(\frac{7}{4}-x\right).\frac{6}{11}+\frac{x}{55}=\frac{11}{4}\)
\(\frac{21}{22}-\frac{6x}{11}+\frac{x}{55}=\frac{11}{4}\)
\(-\frac{30x}{55}+\frac{x}{55}=-\frac{21}{22}+\frac{11}{4}\)
\(-\frac{29x}{55}=\frac{79}{44}\)
\(x=-\frac{395}{116}\)