To simplify the expression [tex]\( 2 + 8(4x + 9) + 3x \)[/tex], follow these steps:
1. Distribute the [tex]\(8\)[/tex] inside the parentheses:
[tex]\[
8 \cdot 4x = 32x
\][/tex]
[tex]\[
8 \cdot 9 = 72
\][/tex]
2. Combine the distributed terms with the rest of the expression:
[tex]\[
2 + 32x + 72 + 3x
\][/tex]
3. Combine like terms:
- For the [tex]\(x\)[/tex] terms:
[tex]\[
32x + 3x = 35x
\][/tex]
- For the constant terms:
[tex]\[
2 + 72 = 74
\][/tex]
4. Write the simplified expression:
[tex]\[
35x + 74
\][/tex]
Thus, the simplified form of [tex]\( 2 + 8(4x + 9) + 3x \)[/tex] is [tex]\( 35x + 74 \)[/tex].
