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Simplifying 7x + 4y + -5z = 0 Solving 7x + 4y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y + -5z = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 + -5z = 0 + -4y 7x + -5z = 0 + -4y Remove the zero: 7x + -5z = -4y Add '5z' to each side of the equation. 7x + -5z + 5z = -4y + 5z Combine like terms: -5z + 5z = 0 7x + 0 = -4y + 5z 7x = -4y + 5z Divide each side by '7'. x = -0.5714285714y + 0.7142857143z Simplifying x = -0.5714285714y + 0.7142857143z
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