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Simplifying 7x + 4y + 7z + -3x + 4z + -6y = 0 Reorder the terms: 7x + -3x + 4y + -6y + 7z + 4z = 0 Combine like terms: 7x + -3x = 4x 4x + 4y + -6y + 7z + 4z = 0 Combine like terms: 4y + -6y = -2y 4x + -2y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z 4x + -2y + 11z = 0 Solving 4x + -2y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 4x + -2y + 2y + 11z = 0 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 11z = 0 + 2y 4x + 11z = 0 + 2y Remove the zero: 4x + 11z = 2y Add '-11z' to each side of the equation. 4x + 11z + -11z = 2y + -11z Combine like terms: 11z + -11z = 0 4x + 0 = 2y + -11z 4x = 2y + -11z Divide each side by '4'. x = 0.5y + -2.75z Simplifying x = 0.5y + -2.75z
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