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Simplifying 7x + 3y + 7z + -3x + 3z + -6y = 0 Reorder the terms: 7x + -3x + 3y + -6y + 7z + 3z = 0 Combine like terms: 7x + -3x = 4x 4x + 3y + -6y + 7z + 3z = 0 Combine like terms: 3y + -6y = -3y 4x + -3y + 7z + 3z = 0 Combine like terms: 7z + 3z = 10z 4x + -3y + 10z = 0 Solving 4x + -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. 4x + -3y + 3y + 10z = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + 10z = 0 + 3y 4x + 10z = 0 + 3y Remove the zero: 4x + 10z = 3y Add '-10z' to each side of the equation. 4x + 10z + -10z = 3y + -10z Combine like terms: 10z + -10z = 0 4x + 0 = 3y + -10z 4x = 3y + -10z Divide each side by '4'. x = 0.75y + -2.5z Simplifying x = 0.75y + -2.5z
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