Question

Perform the operation(s) and simplify completely.
(1 point)
(7x − 6x + 2) − (4x − 8) + (−6 + 3x)
2 x
2
13x − 13x + 10
2
x − 7x + 10
2
x − 7x − 6
2
x − 13x + 10

Answer 1

Let's simplify the expression step by step:

Given expression:

\[
(7x - 6x + 2) - (4x - 8) + (-6 + 3x)
\]

1. Simplify each part of the expression:
- \(7x - 6x = 1x\), so the first part becomes \(x + 2\).
- The second part \(-(4x - 8)\) becomes \(-4x + 8\).
- The third part becomes \(-6 + 3x\).

So we rewrite the expression as:

\[
(x + 2) + (-4x + 8) + (-6 + 3x)
\]

2. Combine all the terms:

Now, let’s combine like terms for \(x\) and the constant terms:
- Combine the \(x\) terms:
\[
x - 4x + 3x = (1 - 4 + 3)x = 0x = 0
\]

- Combine the constant terms:
\[
2 + 8 - 6 = 4
\]

3. Final result:

Putting it all together, we get:
\[
0 + 4 = 4
\]

Thus, the completely simplified expression is:

\[
\boxed{4}
\]