Question

How do simplify (7+x)+7x ?

Answer 1

Use the fact that addition is associative.

Explanation:

`(7+x) + 7x = 7+(x+7x) = 7+8x`

Answer 2

`7+8x`

Explanation:

`(7+x)+7x`

Because we have addition, rather then subtraction, we can just drop the parenthesis:

`7+x+7x`

If we treat `x` like `1x` it will be easier to see what we are doing:

`7+x+7x`

=

`7+1x+7x`

Now we just add `1x` and `7x`:

`7+1x+7x`

=

`7+8x`

`7` and `8x` are like apples and oranges, completely different, so you can add them.

This is our final answer:

`7+8x`