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Simplifying 5x + 7y + -1z = 0 Solving 5x + 7y + -1z = 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. 5x + 7y + -7y + -1z = 0 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + -1z = 0 + -7y 5x + -1z = 0 + -7y Remove the zero: 5x + -1z = -7y Add 'z' to each side of the equation. 5x + -1z + z = -7y + z Combine like terms: -1z + z = 0 5x + 0 = -7y + z 5x = -7y + z Divide each side by '5'. x = -1.4y + 0.2z Simplifying x = -1.4y + 0.2z
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