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Simplifying 3x + -7y + -14z = 0 Solving 3x + -7y + -14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y + -14z = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 + -14z = 0 + 7y 3x + -14z = 0 + 7y Remove the zero: 3x + -14z = 7y Add '14z' to each side of the equation. 3x + -14z + 14z = 7y + 14z Combine like terms: -14z + 14z = 0 3x + 0 = 7y + 14z 3x = 7y + 14z Divide each side by '3'. x = 2.333333333y + 4.666666667z Simplifying x = 2.333333333y + 4.666666667z
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