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Simplifying 9x + 2y + 7z + -4X + 5z + -5y = 0 Reorder the terms: -4X + 9x + 2y + -5y + 7z + 5z = 0 Combine like terms: 2y + -5y = -3y -4X + 9x + -3y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z -4X + 9x + -3y + 12z = 0 Solving -4X + 9x + -3y + 12z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9x' to each side of the equation. -4X + 9x + -3y + -9x + 12z = 0 + -9x Reorder the terms: -4X + 9x + -9x + -3y + 12z = 0 + -9x Combine like terms: 9x + -9x = 0 -4X + 0 + -3y + 12z = 0 + -9x -4X + -3y + 12z = 0 + -9x Remove the zero: -4X + -3y + 12z = -9x Add '3y' to each side of the equation. -4X + -3y + 3y + 12z = -9x + 3y Combine like terms: -3y + 3y = 0 -4X + 0 + 12z = -9x + 3y -4X + 12z = -9x + 3y Add '-12z' to each side of the equation. -4X + 12z + -12z = -9x + 3y + -12z Combine like terms: 12z + -12z = 0 -4X + 0 = -9x + 3y + -12z -4X = -9x + 3y + -12z Divide each side by '-4'. X = 2.25x + -0.75y + 3z Simplifying X = 2.25x + -0.75y + 3z
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