Question

All work must be shown for full credit to be earned. Watch your signs!

1) Combine Like Terms
-8w + 16x + 20w – 40x

2) Apply the distributive property to simplify
the expression
8(12x – 20)

3) Add 7w – 12 and -15w + 60

4) Subtract 2w + 4 from 3w – 6

5) Solve for x:
7.2 + x = 18.1

6) Solve for x:
x – 25 = -3

Answer 1

Explanation:

1. Combine Like Terms

`\tt -8w + 16x + 20w - 40x`

`\tt 12w+16x-40x`

`\boxed{\tt 12w-24x}`

2) Apply the distributive property to simplify:-

`\tt 8\left(12x-20\right)`

`\tt 8* \:12x-8* \:20`

`\boxed{\tt 96x-160}`

3. Add 7w – 12 and -15w + 60:-

`\tt 7w-12+ (-15)w+60`

`\tt 7w-15w-12+60`

`\tt -8w-12+60`

`\boxed{\tt -8w+48}`

4. Subtract 2w + 4 from 3w – 6:-

`\tt 2w+4-3w-6`

`\tt 2w-3w+4-6`

`\tt -w+4-6`

`\boxed{\tt -w-2}`

5. Solve for x:-

`\tt 7.2+x=18.1`

`\tt x+7.2=18.1`

`\tt x+7.2-7.2=18.1-7.2`

`\boxed{\tt x=10.9}`

6) Solve for x:

`\tt x - 25 = -3`

`\tt x=-3+25`

`\boxed{\tt x=22}`

_________________

Hope this helps you!

Have a nice day!

Answer 2

See below.

Explanation:

1) Combine Like Terms

-8w + 16x + 20w – 40x

= -24x + 12w

2) Apply the distributive property to simplify

the expression

8(12x – 20)

= 96x - 160

3) Add 7w – 12 and -15w + 60

= -8w + 48

4) Subtract 2w + 4 from 3w – 6

= 3w - 6 - (2w + 4)

= 3w - 6 - 2w - 4

w - 10

5) Solve for x:

7.2 + x = 18.1

x = 10.9

6) Solve for x:

x – 25 = -3

x = 22