We want to find which of the given expressions is equivalent to the following one.
(9x-4)+13(3x-2)
To do so, we will simplify the above expression. First, let's use the Distributive Property to simplify our expression.
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.
( 9x - 4)+( 39x - 26)
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.
& 9 x - 4
&+ 39 x - 26
& 48 x -30
Therefore, we get the following result.
(9x-4)+13(3x-2)=48x -30
The original expression is equivalent to the expression C.