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