What is the simplified form of the expression 10x - 4 + 3x + 7?

What is the simplified form of the expression 10x - 4 + 3x + 7?

• A. 13x + 3
• B. 13x + 11
• C. 7x + 11
• D. 6x + 4

Answer: (B)

To simplify the expression 10x - 4 + 3x + 7, you start by combining like terms. In this expression, the like terms are the terms that contain the variable x and the constant terms. First, group the terms with x together: 10x + 3x = 13x. Next, combine the constant terms: -4 + 7 = 3. Now, putting it all together, you have: 13x + 3. This means the fully simplified expression is 13x + 3, which corresponds to the correct answer. The original simplification correctly combines the coefficients of x and adds the constants to reach this final form. This process of combining like terms is essential in algebra to simplify expressions for easier handling and understanding.

To simplify the expression 10x - 4 + 3x + 7, you start by combining like terms. In this expression, the like terms are the terms that contain the variable x and the constant terms.

First, group the terms with x together:

10x + 3x = 13x.

Next, combine the constant terms:

-4 + 7 = 3.

Now, putting it all together, you have:

13x + 3.

This means the fully simplified expression is 13x + 3, which corresponds to the correct answer. The original simplification correctly combines the coefficients of x and adds the constants to reach this final form. This process of combining like terms is essential in algebra to simplify expressions for easier handling and understanding.