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Simplifying 9x + 4y + 4z + -4x + 3z + -7y = 0 Reorder the terms: 9x + -4x + 4y + -7y + 4z + 3z = 0 Combine like terms: 9x + -4x = 5x 5x + 4y + -7y + 4z + 3z = 0 Combine like terms: 4y + -7y = -3y 5x + -3y + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 5x + -3y + 7z = 0 Solving 5x + -3y + 7z = 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. 5x + -3y + 3y + 7z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 7z = 0 + 3y 5x + 7z = 0 + 3y Remove the zero: 5x + 7z = 3y Add '-7z' to each side of the equation. 5x + 7z + -7z = 3y + -7z Combine like terms: 7z + -7z = 0 5x + 0 = 3y + -7z 5x = 3y + -7z Divide each side by '5'. x = 0.6y + -1.4z Simplifying x = 0.6y + -1.4z
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