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Simplifying -4(x + -3y + -2z) = 0 (x * -4 + -3y * -4 + -2z * -4) = 0 (-4x + 12y + 8z) = 0 Solving -4x + 12y + 8z = 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 + 8z = 0 + -12y Combine like terms: 12y + -12y = 0 -4x + 0 + 8z = 0 + -12y -4x + 8z = 0 + -12y Remove the zero: -4x + 8z = -12y Add '-8z' to each side of the equation. -4x + 8z + -8z = -12y + -8z Combine like terms: 8z + -8z = 0 -4x + 0 = -12y + -8z -4x = -12y + -8z Divide each side by '-4'. x = 3y + 2z Simplifying x = 3y + 2z
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