\[x(4x + 11) - 7 \cdot \left( x^{2} - 5x \right) =\]
\[= - 3x(x + 3)\]
\[4x^{2} + 11x - 7x^{2} + 35x =\]
\[= - 3x^{2} - 9x\]
\[- 3x^{2} + 3x^{2} + 46x + 9x = 0\]
\[55x = 0\]
\[x = 0.\]