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Simplifying 7x + -3y + 12z = 0 Solving 7x + -3y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y + 12z = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 + 12z = 0 + 3y 7x + 12z = 0 + 3y Remove the zero: 7x + 12z = 3y Add '-12z' to each side of the equation. 7x + 12z + -12z = 3y + -12z Combine like terms: 12z + -12z = 0 7x + 0 = 3y + -12z 7x = 3y + -12z Divide each side by '7'. x = 0.4285714286y + -1.714285714z Simplifying x = 0.4285714286y + -1.714285714z
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