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Simplifying 3x + 7y + 4z = 0 Solving 3x + 7y + 4z = 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 + 4z = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 + 4z = 0 + -7y 3x + 4z = 0 + -7y Remove the zero: 3x + 4z = -7y Add '-4z' to each side of the equation. 3x + 4z + -4z = -7y + -4z Combine like terms: 4z + -4z = 0 3x + 0 = -7y + -4z 3x = -7y + -4z Divide each side by '3'. x = -2.333333333y + -1.333333333z Simplifying x = -2.333333333y + -1.333333333z
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