Using Distributive Property to Multiply Binomials

Simplify $3x(x-2)+1(x-2)$ using the distributive property again.

Multiply the $3x$ by the $x$ and the $-2$ by the $1$, then add the results together.

Use the distributive property: $(3x+1)(x-2)=3x(x-2)+1(x-2)$.

Combine like terms: $3x^2-6x+x-2=\boxed{3x^2-5x-2}$.