Substituting 1 for \( x \) in the equation \( 5x + 3 = x \cdot 5 + 3 \) is a test case for the commutative property of multiplication.
In this equation, both sides simplify to \( 5(1) + 3 \) and \( 1 \cdot 5 + 3 \), which illustrates that the order of multiplication does not change the result, demonstrating the commutative property.