\[\frac{2x + 1}{5} + \frac{3x + 1}{7} = 2\ \ \ \ | \cdot 35\]
\[7 \cdot (2x + 1) + 5 \cdot (3x + 1) = 70\]
\[14x + 7 + 15x + 5 = 70\]
\[29x = 70 - 12\]
\[29x = 58\]
\[x = 2.\]