Question

8(5x + 1) + 3(9 - x)

Answer 1

To simplify the expression \( 8(5x + 1) + 3(9 - x) \), we can distribute the coefficients into the parentheses:

1. Distribute \( 8 \) in the first term:
\[
8(5x) + 8(1) = 40x + 8
\]

2. Distribute \( 3 \) in the second term:
\[
3(9) - 3(x) = 27 - 3x
\]

Now, we can combine the results of the two distributions:
\[
40x + 8 + 27 - 3x
\]

Next, we combine like terms (the \( x \) terms and the constant terms):
- For the \( x \) terms: \( 40x - 3x = 37x \)
- For the constant terms: \( 8 + 27 = 35 \)

Putting it all together, we have:
\[
37x + 35
\]

Thus, the simplified expression is:
\[
\boxed{37x + 35}
\]