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Simplifying -2(x + -2y + -6z) = 0 (x * -2 + -2y * -2 + -6z * -2) = 0 (-2x + 4y + 12z) = 0 Solving -2x + 4y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -2x + 4y + -4y + 12z = 0 + -4y Combine like terms: 4y + -4y = 0 -2x + 0 + 12z = 0 + -4y -2x + 12z = 0 + -4y Remove the zero: -2x + 12z = -4y Add '-12z' to each side of the equation. -2x + 12z + -12z = -4y + -12z Combine like terms: 12z + -12z = 0 -2x + 0 = -4y + -12z -2x = -4y + -12z Divide each side by '-2'. x = 2y + 6z Simplifying x = 2y + 6z
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