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Simplifying 7x + 5y + -12z = 0 Solving 7x + 5y + -12z = 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 + -12z = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 + -12z = 0 + -5y 7x + -12z = 0 + -5y Remove the zero: 7x + -12z = -5y Add '12z' to each side of the equation. 7x + -12z + 12z = -5y + 12z Combine like terms: -12z + 12z = 0 7x + 0 = -5y + 12z 7x = -5y + 12z Divide each side by '7'. x = -0.7142857143y + 1.714285714z Simplifying x = -0.7142857143y + 1.714285714z
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