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Simplifying 9x + 2y + 7z + -5x + 5z + -4z = 0 Reorder the terms: 9x + -5x + 2y + 7z + 5z + -4z = 0 Combine like terms: 9x + -5x = 4x 4x + 2y + 7z + 5z + -4z = 0 Combine like terms: 7z + 5z = 12z 4x + 2y + 12z + -4z = 0 Combine like terms: 12z + -4z = 8z 4x + 2y + 8z = 0 Solving 4x + 2y + 8z = 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 + 8z = 0 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + 8z = 0 + -2y 4x + 8z = 0 + -2y Remove the zero: 4x + 8z = -2y Add '-8z' to each side of the equation. 4x + 8z + -8z = -2y + -8z Combine like terms: 8z + -8z = 0 4x + 0 = -2y + -8z 4x = -2y + -8z Divide each side by '4'. x = -0.5y + -2z Simplifying x = -0.5y + -2z
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