5x-6y-7z-3x+2y-z-4x-3y+z=

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Solution for 5x-6y-7z-3x+2y-z-4x-3y+z= equation:


Simplifying
5x + -6y + -7z + -3x + 2y + -1z + -4x + -3y + z = 0

Reorder the terms:
5x + -3x + -4x + -6y + 2y + -3y + -7z + -1z + z = 0

Combine like terms: 5x + -3x = 2x
2x + -4x + -6y + 2y + -3y + -7z + -1z + z = 0

Combine like terms: 2x + -4x = -2x
-2x + -6y + 2y + -3y + -7z + -1z + z = 0

Combine like terms: -6y + 2y = -4y
-2x + -4y + -3y + -7z + -1z + z = 0

Combine like terms: -4y + -3y = -7y
-2x + -7y + -7z + -1z + z = 0

Combine like terms: -7z + -1z = -8z
-2x + -7y + -8z + z = 0

Combine like terms: -8z + z = -7z
-2x + -7y + -7z = 0

Solving
-2x + -7y + -7z = 0

Solving for variable 'x'.

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

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

Combine like terms: -7y + 7y = 0
-2x + 0 + -7z = 0 + 7y
-2x + -7z = 0 + 7y
Remove the zero:
-2x + -7z = 7y

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

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

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

Simplifying
x = -3.5y + -3.5z

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