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Simplifying 4x + 5y + -3z + -8x + y + -9z = 0 Reorder the terms: 4x + -8x + 5y + y + -3z + -9z = 0 Combine like terms: 4x + -8x = -4x -4x + 5y + y + -3z + -9z = 0 Combine like terms: 5y + y = 6y -4x + 6y + -3z + -9z = 0 Combine like terms: -3z + -9z = -12z -4x + 6y + -12z = 0 Solving -4x + 6y + -12z = 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. -4x + 6y + -6y + -12z = 0 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 + -12z = 0 + -6y -4x + -12z = 0 + -6y Remove the zero: -4x + -12z = -6y Add '12z' to each side of the equation. -4x + -12z + 12z = -6y + 12z Combine like terms: -12z + 12z = 0 -4x + 0 = -6y + 12z -4x = -6y + 12z Divide each side by '-4'. x = 1.5y + -3z Simplifying x = 1.5y + -3z
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