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Simplifying 2x + -6y + 14z = 0 Solving 2x + -6y + 14z = 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. 2x + -6y + 6y + 14z = 0 + 6y Combine like terms: -6y + 6y = 0 2x + 0 + 14z = 0 + 6y 2x + 14z = 0 + 6y Remove the zero: 2x + 14z = 6y Add '-14z' to each side of the equation. 2x + 14z + -14z = 6y + -14z Combine like terms: 14z + -14z = 0 2x + 0 = 6y + -14z 2x = 6y + -14z Divide each side by '2'. x = 3y + -7z Simplifying x = 3y + -7z
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