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Simplifying 3x + 7y + 2z + -1y + 6z + -4x = 0 Reorder the terms: 3x + -4x + 7y + -1y + 2z + 6z = 0 Combine like terms: 3x + -4x = -1x -1x + 7y + -1y + 2z + 6z = 0 Combine like terms: 7y + -1y = 6y -1x + 6y + 2z + 6z = 0 Combine like terms: 2z + 6z = 8z -1x + 6y + 8z = 0 Solving -1x + 6y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -1x + 6y + -6y + 8z = 0 + -6y Combine like terms: 6y + -6y = 0 -1x + 0 + 8z = 0 + -6y -1x + 8z = 0 + -6y Remove the zero: -1x + 8z = -6y Add '-8z' to each side of the equation. -1x + 8z + -8z = -6y + -8z Combine like terms: 8z + -8z = 0 -1x + 0 = -6y + -8z -1x = -6y + -8z Divide each side by '-1'. x = 6y + 8z Simplifying x = 6y + 8z
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