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Simplifying 3x + -6y + 2z = 0 Solving 3x + -6y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 3x + -6y + 6y + 2z = 0 + 6y Combine like terms: -6y + 6y = 0 3x + 0 + 2z = 0 + 6y 3x + 2z = 0 + 6y Remove the zero: 3x + 2z = 6y Add '-2z' to each side of the equation. 3x + 2z + -2z = 6y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 6y + -2z 3x = 6y + -2z Divide each side by '3'. x = 2y + -0.6666666667z Simplifying x = 2y + -0.6666666667z
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