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Simplifying -12y + 3x + -6z + -8y + -4x + 10z = 0 Reorder the terms: 3x + -4x + -12y + -8y + -6z + 10z = 0 Combine like terms: 3x + -4x = -1x -1x + -12y + -8y + -6z + 10z = 0 Combine like terms: -12y + -8y = -20y -1x + -20y + -6z + 10z = 0 Combine like terms: -6z + 10z = 4z -1x + -20y + 4z = 0 Solving -1x + -20y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. -1x + -20y + 20y + 4z = 0 + 20y Combine like terms: -20y + 20y = 0 -1x + 0 + 4z = 0 + 20y -1x + 4z = 0 + 20y Remove the zero: -1x + 4z = 20y Add '-4z' to each side of the equation. -1x + 4z + -4z = 20y + -4z Combine like terms: 4z + -4z = 0 -1x + 0 = 20y + -4z -1x = 20y + -4z Divide each side by '-1'. x = -20y + 4z Simplifying x = -20y + 4z
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