\[(5a + 5x)(a + x) =\]
\[= 5 \cdot (a + x)(a + x) =\]
\[= 5 \cdot (a + x)^{2} =\]
\[= 5 \cdot \left( a^{2} + 2ax + x^{2} \right) =\]
\[= 5a^{2} + 10ax + 5x^{2}\text{.\ }\]