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Simplifying 3x + -12y + 21z = 0 Solving 3x + -12y + 21z = 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. 3x + -12y + 12y + 21z = 0 + 12y Combine like terms: -12y + 12y = 0 3x + 0 + 21z = 0 + 12y 3x + 21z = 0 + 12y Remove the zero: 3x + 21z = 12y Add '-21z' to each side of the equation. 3x + 21z + -21z = 12y + -21z Combine like terms: 21z + -21z = 0 3x + 0 = 12y + -21z 3x = 12y + -21z Divide each side by '3'. x = 4y + -7z Simplifying x = 4y + -7z
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