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Simplifying 8x + 3y + 8z + -5x + 4z + -6y = 0 Reorder the terms: 8x + -5x + 3y + -6y + 8z + 4z = 0 Combine like terms: 8x + -5x = 3x 3x + 3y + -6y + 8z + 4z = 0 Combine like terms: 3y + -6y = -3y 3x + -3y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 3x + -3y + 12z = 0 Solving 3x + -3y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 3x + -3y + 3y + 12z = 0 + 3y Combine like terms: -3y + 3y = 0 3x + 0 + 12z = 0 + 3y 3x + 12z = 0 + 3y Remove the zero: 3x + 12z = 3y Add '-12z' to each side of the equation. 3x + 12z + -12z = 3y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = 3y + -12z 3x = 3y + -12z Divide each side by '3'. x = y + -4z Simplifying x = y + -4z
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