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Simplifying 3(2x + 4y + 3z) = 0 (2x * 3 + 4y * 3 + 3z * 3) = 0 (6x + 12y + 9z) = 0 Solving 6x + 12y + 9z = 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 + 9z = 0 + -12y Combine like terms: 12y + -12y = 0 6x + 0 + 9z = 0 + -12y 6x + 9z = 0 + -12y Remove the zero: 6x + 9z = -12y Add '-9z' to each side of the equation. 6x + 9z + -9z = -12y + -9z Combine like terms: 9z + -9z = 0 6x + 0 = -12y + -9z 6x = -12y + -9z Divide each side by '6'. x = -2y + -1.5z Simplifying x = -2y + -1.5z
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