8(1 + 6x) + 6(8x - 2) Simplify each expression. Please explain step by step so i can understand and learn as well! thank you

Hi there!

96x - 4

Step-by-step explanation:

8(1 + 6x) part

Firstly you need to expand the brackets, for the first bracket we will do the following:

8(1 + 6x)

We must multiply each side of the equation in the brackets by the value outside the brackets, in this calculation by 8:

(8 * 1) + ( 8 * 6x)

Which can be simplified to:

8 + 48x

6(8x - 2) part

Now, the other part of the expression will be calculated:

6(8x - 2)

First do the left hand side of the equation in the brackets:

6 * 8x = 48x

Now the left hand side:

-2 * 6 = -12

The 2 is negative as it is subtracting 2 in the equation.

This means together, the right hand simplifies to:

48x - 12

Now putting these two equations together we get:

8 + 48x + 48x - 12

Now, we can rearrange the equation so the figures that the two numbers without an x value can be next to each other.

8 - 12 + 48x + 48x

This can be simplified by subtracting 12 from 8:

8 - 12 = -4

That leaves 48x + 48x which can be simplified to 96x:

48x + 48x = 96x

So putting the two parts together gives a simplified expression of:

96x - 4

Hope this helps!

im not sure

step-by-step explanation:

step-by-step explanation: