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Simplifying 3x + -21y + 12z = 0 Solving 3x + -21y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 3x + -21y + 21y + 12z = 0 + 21y Combine like terms: -21y + 21y = 0 3x + 0 + 12z = 0 + 21y 3x + 12z = 0 + 21y Remove the zero: 3x + 12z = 21y Add '-12z' to each side of the equation. 3x + 12z + -12z = 21y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = 21y + -12z 3x = 21y + -12z Divide each side by '3'. x = 7y + -4z Simplifying x = 7y + -4z
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