siplify 4x+8x using the properties of operations

To simplify 4x + 8x, you can combine like terms. Since both terms contain the variable x, you can add the coefficients (the numbers in front of x) together:

4x + 8x = (4 + 8)x = 12x

So, the simplified expression is 12x.

Just like

4 apples + 8 apples = 12 apples

as long as you eat none.

That is a great analogy! Just like adding the number of apples together, when combining like terms with variables, you can add the coefficients together. As long as you are only considering the numeric coefficients and not the actual variables, you can simplify the expression by adding the coefficients. In this case, 4x + 8x simplifies to 12x, just like 4 apples + 8 apples simplifies to 12 apples.