Question

5(3x+9)+5(3x+9)+2(8x-4)+2(8x-4)

Answer 1

To simplify the expression \(5(3x+9) + 5(3x+9) + 2(8x-4) + 2(8x-4)\), we'll first combine like terms and then simplify each component.

1. Combine the terms:
\[
5(3x + 9) + 5(3x + 9) = 10(3x + 9)
\]
\[
2(8x - 4) + 2(8x - 4) = 4(8x - 4)
\]

So, now we have:
\[
10(3x + 9) + 4(8x - 4)
\]

2. Now distribute:
\[
10(3x + 9) = 30x + 90
\]
\[
4(8x - 4) = 32x - 16
\]

3. Combine these results:
\[
(30x + 90) + (32x - 16)
\]
\[
= 30x + 32x + 90 - 16
\]
\[
= 62x + 74
\]

So, the simplified expression is:
\[
\boxed{62x + 74}
\]