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Simplifying -9x + 6z + -1y + -1x + 12y + z + -1z + 5y + -11x = 0 Reorder the terms: -9x + -1x + -11x + -1y + 12y + 5y + 6z + z + -1z = 0 Combine like terms: -9x + -1x = -10x -10x + -11x + -1y + 12y + 5y + 6z + z + -1z = 0 Combine like terms: -10x + -11x = -21x -21x + -1y + 12y + 5y + 6z + z + -1z = 0 Combine like terms: -1y + 12y = 11y -21x + 11y + 5y + 6z + z + -1z = 0 Combine like terms: 11y + 5y = 16y -21x + 16y + 6z + z + -1z = 0 Combine like terms: 6z + z = 7z -21x + 16y + 7z + -1z = 0 Combine like terms: 7z + -1z = 6z -21x + 16y + 6z = 0 Solving -21x + 16y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -21x + 16y + -16y + 6z = 0 + -16y Combine like terms: 16y + -16y = 0 -21x + 0 + 6z = 0 + -16y -21x + 6z = 0 + -16y Remove the zero: -21x + 6z = -16y Add '-6z' to each side of the equation. -21x + 6z + -6z = -16y + -6z Combine like terms: 6z + -6z = 0 -21x + 0 = -16y + -6z -21x = -16y + -6z Divide each side by '-21'. x = 0.7619047619y + 0.2857142857z Simplifying x = 0.7619047619y + 0.2857142857z
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