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Simplifying 24x + 12y + 36z = 0 Solving 24x + 12y + 36z = 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. 24x + 12y + -12y + 36z = 0 + -12y Combine like terms: 12y + -12y = 0 24x + 0 + 36z = 0 + -12y 24x + 36z = 0 + -12y Remove the zero: 24x + 36z = -12y Add '-36z' to each side of the equation. 24x + 36z + -36z = -12y + -36z Combine like terms: 36z + -36z = 0 24x + 0 = -12y + -36z 24x = -12y + -36z Divide each side by '24'. x = -0.5y + -1.5z Simplifying x = -0.5y + -1.5z
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