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Simplifying 8x + y + -9x + 3z + 2x + -7y + z = 0 Reorder the terms: 8x + -9x + 2x + y + -7y + 3z + z = 0 Combine like terms: 8x + -9x = -1x -1x + 2x + y + -7y + 3z + z = 0 Combine like terms: -1x + 2x = 1x 1x + y + -7y + 3z + z = 0 Combine like terms: y + -7y = -6y 1x + -6y + 3z + z = 0 Combine like terms: 3z + z = 4z 1x + -6y + 4z = 0 Solving 1x + -6y + 4z = 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 + 4z = 0 + 6y Combine like terms: -6y + 6y = 0 1x + 0 + 4z = 0 + 6y 1x + 4z = 0 + 6y Remove the zero: 1x + 4z = 6y Add '-4z' to each side of the equation. 1x + 4z + -4z = 6y + -4z Combine like terms: 4z + -4z = 0 1x + 0 = 6y + -4z 1x = 6y + -4z Divide each side by '1'. x = 6y + -4z Simplifying x = 6y + -4z
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