To simplify the given expression [tex]\(-2xy + 3x - 2xy + 3x\)[/tex], let's follow these steps:
1. Combine Like Terms:
- Identify all the terms that are similar. In this case, [tex]\(-2xy\)[/tex] and [tex]\(-2xy\)[/tex] are like terms. Similarly, [tex]\(3x\)[/tex] and [tex]\(3x\)[/tex] are like terms.
2. Sum the Coefficients of the Like Terms:
- For the [tex]\(xy\)[/tex] terms:
[tex]\[
-2xy + (-2xy) = -4xy
\][/tex]
- For the [tex]\(x\)[/tex] terms:
[tex]\[
3x + 3x = 6x
\][/tex]
3. Combine the Results:
- So, the simplified form of the expression is:
[tex]\[
-4xy + 6x
\][/tex]
Therefore, the simplified expression is [tex]\(-4xy + 6x\)[/tex].
Looking at the provided options:
A. [tex]\(2xy\)[/tex]
B. [tex]\(4xy + 6x\)[/tex]
C. [tex]\(-4xy + 6x\)[/tex]
D. [tex]\(4xy - 6x\)[/tex]
The correct answer is:
C. [tex]\(-4xy + 6x\)[/tex]
