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Simplifying 6x + -12y + 18z = 0 Solving 6x + -12y + 18z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 6x + -12y + 12y + 18z = 0 + 12y Combine like terms: -12y + 12y = 0 6x + 0 + 18z = 0 + 12y 6x + 18z = 0 + 12y Remove the zero: 6x + 18z = 12y Add '-18z' to each side of the equation. 6x + 18z + -18z = 12y + -18z Combine like terms: 18z + -18z = 0 6x + 0 = 12y + -18z 6x = 12y + -18z Divide each side by '6'. x = 2y + -3z Simplifying x = 2y + -3z
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