(x-y-z)+(x-y-z)-(x-y-z)+(x+y+z)=

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Solution for (x-y-z)+(x-y-z)-(x-y-z)+(x+y+z)= equation: 


Simplifying
(x + -1y + -1z) + (x + -1y + -1z) + -1(x + -1y + -1z) + (x + y + z) = 0

Remove parenthesis around (x + -1y + -1z)
x + -1y + -1z + (x + -1y + -1z) + -1(x + -1y + -1z) + (x + y + z) = 0

Remove parenthesis around (x + -1y + -1z)
x + -1y + -1z + x + -1y + -1z + -1(x + -1y + -1z) + (x + y + z) = 0
x + -1y + -1z + x + -1y + -1z + (x * -1 + -1y * -1 + -1z * -1) + (x + y + z) = 0
x + -1y + -1z + x + -1y + -1z + (-1x + 1y + 1z) + (x + y + z) = 0

Remove parenthesis around (x + y + z)
x + -1y + -1z + x + -1y + -1z + -1x + 1y + 1z + x + y + z = 0

Reorder the terms:
x + x + -1x + x + -1y + -1y + 1y + y + -1z + -1z + 1z + z = 0

Combine like terms: x + x = 2x
2x + -1x + x + -1y + -1y + 1y + y + -1z + -1z + 1z + z = 0

Combine like terms: 2x + -1x = 1x
1x + x + -1y + -1y + 1y + y + -1z + -1z + 1z + z = 0

Combine like terms: 1x + x = 2x
2x + -1y + -1y + 1y + y + -1z + -1z + 1z + z = 0

Combine like terms: -1y + -1y = -2y
2x + -2y + 1y + y + -1z + -1z + 1z + z = 0

Combine like terms: -2y + 1y = -1y
2x + -1y + y + -1z + -1z + 1z + z = 0

Combine like terms: -1y + y = 0
2x + 0 + -1z + -1z + 1z + z = 0
2x + -1z + -1z + 1z + z = 0

Combine like terms: -1z + -1z = -2z
2x + -2z + 1z + z = 0

Combine like terms: -2z + 1z = -1z
2x + -1z + z = 0

Combine like terms: -1z + z = 0
2x + 0 = 0
2x = 0

Solving
2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '2'.
x = 0

Simplifying
x = 0

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