First, let's find the additive inverse of the linear expression within the second set of parentheses. To do so, we can distribute -1 into the second set of parentheses. When we do so, we multiply each term of that linear expression by -1.
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.
( - 7x+ 1)+( 6x+ 9)
In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition.
-7 x + 1 &
+ 6 x +9&
- x +10&
Therefore, we get the following result.
(6x+9)-(7x-1) = - x + 10
