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Simplifying 7x + 5y + -2z = 0 Solving 7x + 5y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y + -2z = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 + -2z = 0 + -5y 7x + -2z = 0 + -5y Remove the zero: 7x + -2z = -5y Add '2z' to each side of the equation. 7x + -2z + 2z = -5y + 2z Combine like terms: -2z + 2z = 0 7x + 0 = -5y + 2z 7x = -5y + 2z Divide each side by '7'. x = -0.7142857143y + 0.2857142857z Simplifying x = -0.7142857143y + 0.2857142857z
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