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Simplifying 6x + -4y + 8z + -4x + 4z + -6y = 0 Reorder the terms: 6x + -4x + -4y + -6y + 8z + 4z = 0 Combine like terms: 6x + -4x = 2x 2x + -4y + -6y + 8z + 4z = 0 Combine like terms: -4y + -6y = -10y 2x + -10y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 2x + -10y + 12z = 0 Solving 2x + -10y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 2x + -10y + 10y + 12z = 0 + 10y Combine like terms: -10y + 10y = 0 2x + 0 + 12z = 0 + 10y 2x + 12z = 0 + 10y Remove the zero: 2x + 12z = 10y Add '-12z' to each side of the equation. 2x + 12z + -12z = 10y + -12z Combine like terms: 12z + -12z = 0 2x + 0 = 10y + -12z 2x = 10y + -12z Divide each side by '2'. x = 5y + -6z Simplifying x = 5y + -6z
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