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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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