\[\frac{\left( x^{7} \right)^{2} \cdot \left( x^{3} \right)^{4}}{\left( x^{4} \right)^{5} \cdot x^{5}} = 21\]
\[\frac{x^{14} \cdot x^{12}}{x^{20} \cdot x^{5}} = 21\]
\[\frac{x^{26}}{x^{25}} = 21\]
\[x = 21.\]