Final answer:
Yes, 5x, 5x, and 3x are like terms because they all contain the same variable 'x'. They can be combined using addition to equal 13x.
Step-by-step explanation:
The question asks whether the terms 5x, 5x, and 3x are considered 'like terms' and how to combine them using addition. Like terms are terms that have the same variables raised to the same powers. Since all three terms have the variable 'x' to the first power, they are indeed like terms.
To combine like terms, simply add or subtract the coefficients (the numerical parts) and keep the variable part the same. Here, add the coefficients 5, 5, and 3 to get:
5x + 5x + 3x = (5 + 5 + 3)x = 13x.
So, the correct answer to the question is: Yes, all three terms are like terms, and when combined using addition, they equal 13x.