To check if these two expressions are equal, we can expand both sides and see if they match.

First, we will expand the left side of the equation:

(3x + 5)(x + 7)
= 3x(x + 7) + 5(x + 7)
= 3x^2 + 21x + 5x + 35
= 3x^2 + 26x + 35

Next, we will expand the right side of the equation:

(3x + 5)(2x - 1)
= 3x(2x - 1) + 5(2x - 1)
= 6x^2 - 3x + 10x - 5
= 6x^2 + 7x - 5

Therefore, the expressions do not match, and the equation is not true.