When simplifying the expression 6x - 2x + 4, what is the result?

• A. 8x + 4
• B. 4x + 4
• C. 6x + 4
• D. 2x + 4

Answer: (B)

To simplify the expression 6x - 2x + 4, you start by combining the like terms, which are the terms that contain the variable x.

In the expression, 6x and -2x are like terms. When you combine them, you perform the arithmetic operation of addition and subtraction on the coefficients:

6x - 2x = (6 - 2)x = 4x.

Now the expression becomes:

4x + 4.

Next, it's essential to recognize that the constant term (which is 4) remains unchanged as there are no other constant terms present to combine with it. Therefore, the expression simplifies to 4x + 4.

This result aligns perfectly with the principles of combining like terms in algebra. Each step followed the correct order of operations and the concept of identifying and reducing like terms effectively. This understanding is crucial for mastering algebraic simplification.