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