# How do you simplify 7(8x+ 7) +3x?

Distribute the 7 into the brackets to get the x term out, then add in the 3x to get the final answer of $59 x + 49$

#### Explanation:

Let's first talk about what needs to be simplified - there are two expressions and it'd be great to have the $3 x$ as part of a single expression. So let's see how we can do that.

The first expression, $7 \left(8 x + 7\right)$, has an x tucked away in the brackets. So let's multiply the 7 through the brackets, get the x term out in the open, then add in the 3x, and finally try to put the expression back into a single one.

Starting with the full expression:

$7 \left(8 x + 7\right) + 3 x$

Let's multiply the 7 into the brackets:

$56 x + 49 + 3 x$

Now we can add the two x terms:

$59 x + 49$

Can we do any more? No, we can't - 59 is prime, so won't factor down into smaller components. So this is where things get left.