\[(x - 10)(x - 1) - (x + 1)(x - 4) = 6\]
\[x^{2} - 10x - x + 10 - x^{2} - x + 4x + 4 = 6\]
\[- 8x = 6 - 14\]
\[- 8x = - 8\]
\[x = 1.\]