Question

Which algebraic expression is equivalent to this expression? 9(4x + 12) + 6x - 11

Answer 1

To simplify the expression \( 9(4x + 12) + 6x - 11 \), we can follow these steps:

1. Distribute the \( 9 \) across the terms inside the parentheses:
\[
9(4x) + 9(12) = 36x + 108
\]

2. Now, substitute this back into the expression:
\[
36x + 108 + 6x - 11
\]

3. Combine like terms. First, combine the \( x \) terms:
\[
36x + 6x = 42x
\]

4. Next, combine the constant terms:
\[
108 - 11 = 97
\]

5. Now, put it all together:
\[
42x + 97
\]

So, the algebraic expression equivalent to \( 9(4x + 12) + 6x - 11 \) is:
\[
\boxed{42x + 97}
\]