# How do you simplify x + 9x + 3?

Oct 28, 2015

$= 10 x + 3$

#### Explanation:

Note that

$x + 9 x + 3 = \left(1 + 9\right) x + 3$
$= 10 x + 3$

Oct 28, 2015

$10 x + 3$
It is important that you look at the explanation!

#### Explanation:

The expression has two groups of numbers. They are: one constant and a set of counts of $x$

We can not mix the constant with the count of x as they are different; in that we do not know the value of $x$. However, we do know the value of 3. So the constant stays as it is and on its own.

Looking at the$\text{ } x$ parts:

Adding means 'put with the count'. The opposite of this is subtract; which means 'remove from the count'.

We have one of $x$ put with another nine of $x$ giving us a total of 10 of $x$ written as $10 x$.

Putting everything together gives:

$10 x + 3$