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Simplifying 7x + 3y + 9z + -5x + 5z + -7y = 0 Reorder the terms: 7x + -5x + 3y + -7y + 9z + 5z = 0 Combine like terms: 7x + -5x = 2x 2x + 3y + -7y + 9z + 5z = 0 Combine like terms: 3y + -7y = -4y 2x + -4y + 9z + 5z = 0 Combine like terms: 9z + 5z = 14z 2x + -4y + 14z = 0 Solving 2x + -4y + 14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 2x + -4y + 4y + 14z = 0 + 4y Combine like terms: -4y + 4y = 0 2x + 0 + 14z = 0 + 4y 2x + 14z = 0 + 4y Remove the zero: 2x + 14z = 4y Add '-14z' to each side of the equation. 2x + 14z + -14z = 4y + -14z Combine like terms: 14z + -14z = 0 2x + 0 = 4y + -14z 2x = 4y + -14z Divide each side by '2'. x = 2y + -7z Simplifying x = 2y + -7z
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