(x-y-z)+(x-y-7)-(x-y-z)+(x+y+z)=

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Solution for (x-y-z)+(x-y-7)-(x-y-z)+(x+y+z)= equation: 


Simplifying
(x + -1y + -1z) + (x + -1y + -7) + -1(x + -1y + -1z) + (x + y + z) = 0

Remove parenthesis around (x + -1y + -1z)
x + -1y + -1z + (x + -1y + -7) + -1(x + -1y + -1z) + (x + y + z) = 0

Reorder the terms:
x + -1y + -1z + (-7 + x + -1y) + -1(x + -1y + -1z) + (x + y + z) = 0

Remove parenthesis around (-7 + x + -1y)
x + -1y + -1z + -7 + x + -1y + -1(x + -1y + -1z) + (x + y + z) = 0
x + -1y + -1z + -7 + x + -1y + (x * -1 + -1y * -1 + -1z * -1) + (x + y + z) = 0
x + -1y + -1z + -7 + x + -1y + (-1x + 1y + 1z) + (x + y + z) = 0

Remove parenthesis around (x + y + z)
x + -1y + -1z + -7 + x + -1y + -1x + 1y + 1z + x + y + z = 0

Reorder the terms:
-7 + x + x + -1x + x + -1y + -1y + 1y + y + -1z + 1z + z = 0

Combine like terms: x + x = 2x
-7 + 2x + -1x + x + -1y + -1y + 1y + y + -1z + 1z + z = 0

Combine like terms: 2x + -1x = 1x
-7 + 1x + x + -1y + -1y + 1y + y + -1z + 1z + z = 0

Combine like terms: 1x + x = 2x
-7 + 2x + -1y + -1y + 1y + y + -1z + 1z + z = 0

Combine like terms: -1y + -1y = -2y
-7 + 2x + -2y + 1y + y + -1z + 1z + z = 0

Combine like terms: -2y + 1y = -1y
-7 + 2x + -1y + y + -1z + 1z + z = 0

Combine like terms: -1y + y = 0
-7 + 2x + 0 + -1z + 1z + z = 0
-7 + 2x + -1z + 1z + z = 0

Combine like terms: -1z + 1z = 0
-7 + 2x + 0 + z = 0
-7 + 2x + z = 0

Solving
-7 + 2x + z = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 2x + 7 + z = 0 + 7

Reorder the terms:
-7 + 7 + 2x + z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x + z = 0 + 7
2x + z = 0 + 7

Combine like terms: 0 + 7 = 7
2x + z = 7

Add '-1z' to each side of the equation.
2x + z + -1z = 7 + -1z

Combine like terms: z + -1z = 0
2x + 0 = 7 + -1z
2x = 7 + -1z

Divide each side by '2'.
x = 3.5 + -0.5z

Simplifying
x = 3.5 + -0.5z

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