Final answer:
Yes, x+x = 2x is an application of the distributive property.
Step-by-step explanation:
Yes, writing x+x = 2x is indeed an application of the distributive property. The distributive property states that when multiplying a number or variable by the sum of two or more terms, you can distribute the multiplication to each term individually. In this case, we can see that x+x can be rewritten as 1*x + 1*x, and by applying the distributive property, we get 2*x, which is simplified to 2x.