which algebraic expression is equivalent to the expression below?

Question

6(4x+4)+13

given:
24x+11
6x+8
48x
24x+37

Answer 1

To simplify the expression \(6(4x + 4) + 13\), we can follow these steps:

1. Distribute the \(6\) across the terms inside the parentheses: \[ 6(4x) + 6(4) = 24x + 24 \]

2. Now add \(13\) to the result: \[ 24x + 24 + 13 = 24x + 37 \]

So, the expression \(6(4x + 4) + 13\) simplifies to \(24x + 37\).

Thus, the equivalent algebraic expression is:

\[ \boxed{24x + 37} \]