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Simplifying 7x + 9y + -9(7x + -6y + 3z) = 0 7x + 9y + (7x * -9 + -6y * -9 + 3z * -9) = 0 7x + 9y + (-63x + 54y + -27z) = 0 Reorder the terms: 7x + -63x + 9y + 54y + -27z = 0 Combine like terms: 7x + -63x = -56x -56x + 9y + 54y + -27z = 0 Combine like terms: 9y + 54y = 63y -56x + 63y + -27z = 0 Solving -56x + 63y + -27z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63y' to each side of the equation. -56x + 63y + -63y + -27z = 0 + -63y Combine like terms: 63y + -63y = 0 -56x + 0 + -27z = 0 + -63y -56x + -27z = 0 + -63y Remove the zero: -56x + -27z = -63y Add '27z' to each side of the equation. -56x + -27z + 27z = -63y + 27z Combine like terms: -27z + 27z = 0 -56x + 0 = -63y + 27z -56x = -63y + 27z Divide each side by '-56'. x = 1.125y + -0.4821428571z Simplifying x = 1.125y + -0.4821428571z
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