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: \[ \boxed{42x + 97} \]