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3x-y+5z-2x-\left(-42\right)-\left(8x-2y+2\right)
To find the opposite of 2x-42, find the opposite of each term.
3x-y+5z-2x+42-\left(8x-2y+2\right)
The opposite of -42 is 42.
x-y+5z+42-\left(8x-2y+2\right)
Combine 3x and -2x to get x.
x-y+5z+42-8x-\left(-2y\right)-2
To find the opposite of 8x-2y+2, find the opposite of each term.
x-y+5z+42-8x+2y-2
The opposite of -2y is 2y.
-7x-y+5z+42+2y-2
Combine x and -8x to get -7x.
-7x+y+5z+42-2
Combine -y and 2y to get y.
-7x+y+5z+40
Subtract 2 from 42 to get 40.
3x-y+5z-2x-\left(-42\right)-\left(8x-2y+2\right)
To find the opposite of 2x-42, find the opposite of each term.
3x-y+5z-2x+42-\left(8x-2y+2\right)
The opposite of -42 is 42.
x-y+5z+42-\left(8x-2y+2\right)
Combine 3x and -2x to get x.
x-y+5z+42-8x-\left(-2y\right)-2
To find the opposite of 8x-2y+2, find the opposite of each term.
x-y+5z+42-8x+2y-2
The opposite of -2y is 2y.
-7x-y+5z+42+2y-2
Combine x and -8x to get -7x.
-7x+y+5z+42-2
Combine -y and 2y to get y.
-7x+y+5z+40
Subtract 2 from 42 to get 40.