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