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Simplifying 7x + 5y + 9z + -4x + 5z + -6y = 0 Reorder the terms: 7x + -4x + 5y + -6y + 9z + 5z = 0 Combine like terms: 7x + -4x = 3x 3x + 5y + -6y + 9z + 5z = 0 Combine like terms: 5y + -6y = -1y 3x + -1y + 9z + 5z = 0 Combine like terms: 9z + 5z = 14z 3x + -1y + 14z = 0 Solving 3x + -1y + 14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y + 14z = 0 + y Combine like terms: -1y + y = 0 3x + 0 + 14z = 0 + y 3x + 14z = 0 + y Remove the zero: 3x + 14z = y Add '-14z' to each side of the equation. 3x + 14z + -14z = y + -14z Combine like terms: 14z + -14z = 0 3x + 0 = y + -14z 3x = y + -14z Divide each side by '3'. x = 0.3333333333y + -4.666666667z Simplifying x = 0.3333333333y + -4.666666667z
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