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Simplifying 9x + 5y + 7y + -5x + 4z + -6y = 0 Reorder the terms: 9x + -5x + 5y + 7y + -6y + 4z = 0 Combine like terms: 9x + -5x = 4x 4x + 5y + 7y + -6y + 4z = 0 Combine like terms: 5y + 7y = 12y 4x + 12y + -6y + 4z = 0 Combine like terms: 12y + -6y = 6y 4x + 6y + 4z = 0 Solving 4x + 6y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y + 4z = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 4z = 0 + -6y 4x + 4z = 0 + -6y Remove the zero: 4x + 4z = -6y Add '-4z' to each side of the equation. 4x + 4z + -4z = -6y + -4z Combine like terms: 4z + -4z = 0 4x + 0 = -6y + -4z 4x = -6y + -4z Divide each side by '4'. x = -1.5y + -1z Simplifying x = -1.5y + -1z
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