Final answer:
The expression (9x-6)+(-5x+7) simplifies to 4x + 1 by adding like terms. The x terms are combined to form 4x, and the constants -6 and 7 add up to 1, resulting in the correct answer being C. 4x + 1.
Step-by-step explanation:
To solve the expression (9x-6)+(-5x+7), you combine like terms. The terms 9x and -5x both have the variable x, so you can add them together. Additionally, the constants -6 and +7 can be combined because they are like terms as well.
First, combine the x terms:
9x + (-5x) equals 4x.
Then, combine the constant terms:
-6 + 7 equals +1.
Now, you can write the simplified expression:
4x + 1. Therefore, the correct answer is C. 4x + 1.