Which algebraic expression is equivalent to the expression below?
7(4x + 5) + 19
A.
63x
B.
28x + 16
C.
7x + 9
D.
28x + 54
To simplify the expression 7(4x + 5) + 19, we can start by distributing the 7 to both terms inside the parentheses:
7 * 4x = 28x
7 * 5 = 35
So, we have 28x + 35 + 19. Combining like terms, we get:
28x + 54
Therefore, the algebraic expression that is equivalent to the original expression is 28x + 54. Answer: D.