Ethan G. | Tutor for Algebra, Statistics, Calculus and More! First Hour Free!Tutor for Algebra, Statistics, Calculus ...

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Let's consider a problem of adding apples and oranges. If I have 3 apples and a friend gives you 2 more apples you have 3+2 = 5 apples. Now let's say you have 3 apples and a friend gives you 4 oranges. How many apples do you have? You have 3 + 0 = 3 apples. You cannot add apples and oranges together because they are two different things. Now let's apply this to variables. Let's say you have x and you want to add 3 more x. You get 1x+3x = 4x. You can just add the coefficients together because you are adding the same thing. If the question was x+2y, these are different variables (adding apples and oranges) and cannot be simplified any further.

Now let's say I gave you an equation 3x +2y +6x + 10y, can you simplify?