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Simplifying (6x + -7y + -3z) + (7z + -3x + -6y) = 0 Remove parenthesis around (6x + -7y + -3z) 6x + -7y + -3z + (7z + -3x + -6y) = 0 Reorder the terms: 6x + -7y + -3z + (-3x + -6y + 7z) = 0 Remove parenthesis around (-3x + -6y + 7z) 6x + -7y + -3z + -3x + -6y + 7z = 0 Reorder the terms: 6x + -3x + -7y + -6y + -3z + 7z = 0 Combine like terms: 6x + -3x = 3x 3x + -7y + -6y + -3z + 7z = 0 Combine like terms: -7y + -6y = -13y 3x + -13y + -3z + 7z = 0 Combine like terms: -3z + 7z = 4z 3x + -13y + 4z = 0 Solving 3x + -13y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 3x + -13y + 13y + 4z = 0 + 13y Combine like terms: -13y + 13y = 0 3x + 0 + 4z = 0 + 13y 3x + 4z = 0 + 13y Remove the zero: 3x + 4z = 13y Add '-4z' to each side of the equation. 3x + 4z + -4z = 13y + -4z Combine like terms: 4z + -4z = 0 3x + 0 = 13y + -4z 3x = 13y + -4z Divide each side by '3'. x = 4.333333333y + -1.333333333z Simplifying x = 4.333333333y + -1.333333333z
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