When simplifying the expression 7x + 2x + 5 - 3, what is the final result?

When simplifying the expression 7x + 2x + 5 - 3, what is the final result?

• A. 9x + 3
• B. 9x + 2
• C. 7x + 2
• D. 5x + 2

Answer: (B)

To simplify the expression \(7x + 2x + 5 - 3\), we start by combining the like terms. Like terms are terms that contain the same variable raised to the same power. In this case, the terms \(7x\) and \(2x\) are like terms. First, we combine the \(x\) terms: \[ 7x + 2x = 9x \] Next, we look at the constant terms \(5\) and \(-3\). These are also like terms since they are both constants. Now, we combine them: \[ 5 - 3 = 2 \] Putting it all together, we have: \[ 9x + 2 \] Thus, the final simplified expression is \(9x + 2\), which aligns perfectly with the answer choice found in the question.

To simplify the expression (7x + 2x + 5 - 3), we start by combining the like terms. Like terms are terms that contain the same variable raised to the same power. In this case, the terms (7x) and (2x) are like terms.

First, we combine the (x) terms:

[

7x + 2x = 9x

]

Next, we look at the constant terms (5) and (-3). These are also like terms since they are both constants. Now, we combine them:

[

5 - 3 = 2

]

Putting it all together, we have:

[

9x + 2

]

Thus, the final simplified expression is (9x + 2), which aligns perfectly with the answer choice found in the question.