What is the result of simplifying the expression 10x - 3x + 4 - 2?

• A. 7x + 2
• B. 8x + 2
• C. 7x + 5
• D. 10x + 2

Answer: (A)

To simplify the expression 10x - 3x + 4 - 2, you start by combining the like terms. Like terms are those that have the same variable raised to the same power.

First, focus on the terms involving the variable x:

10x - 3x

When you subtract 3x from 10x, you perform the operation as follows:

10 - 3 = 7, so you have:

7x

Next, move on to the constant terms in the expression:

4 - 2

Here, subtracting 2 from 4 gives you:

4 - 2 = 2

Now, you can combine the results of both operations. After simplifying both parts, you have:

7x + 2

Thus, the simplified form of the expression is 7x + 2, making it the correct answer. This shows that you correctly combined the coefficients of x and the constants to arrive at the final result.