Let's simplify the given expression step by step. The expression is:
[tex]\[
(3x - 5) + (3x + 6)
\][/tex]
1. Combine like terms:
- Terms involving [tex]\( x \)[/tex]: [tex]\( 3x \)[/tex] and [tex]\( 3x \)[/tex]
- Constant terms: [tex]\(-5\)[/tex] and [tex]\( +6 \)[/tex]
2. Add the coefficients of [tex]\( x \)[/tex]:
[tex]\[
3x + 3x = 6x
\][/tex]
3. Add the constant terms:
[tex]\[
-5 + 6 = 1
\][/tex]
4. Combine the results from steps 2 and 3:
[tex]\[
6x + 1
\][/tex]
So the simplified expression is:
[tex]\[
6x + 1
\][/tex]
Hence, the correct answer is:
[tex]\[
6x + 1
\][/tex]
