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Simplifying 7x + 3y + 6z + -4x + 4z + -6y = 0 Reorder the terms: 7x + -4x + 3y + -6y + 6z + 4z = 0 Combine like terms: 7x + -4x = 3x 3x + 3y + -6y + 6z + 4z = 0 Combine like terms: 3y + -6y = -3y 3x + -3y + 6z + 4z = 0 Combine like terms: 6z + 4z = 10z 3x + -3y + 10z = 0 Solving 3x + -3y + 10z = 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. 3x + -3y + 3y + 10z = 0 + 3y Combine like terms: -3y + 3y = 0 3x + 0 + 10z = 0 + 3y 3x + 10z = 0 + 3y Remove the zero: 3x + 10z = 3y Add '-10z' to each side of the equation. 3x + 10z + -10z = 3y + -10z Combine like terms: 10z + -10z = 0 3x + 0 = 3y + -10z 3x = 3y + -10z Divide each side by '3'. x = y + -3.333333333z Simplifying x = y + -3.333333333z
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