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Simplifying X + y + z + 12x + -3y + -1x + 20z + -11y + -19z = 0 Reorder the terms: X + 12x + -1x + y + -3y + -11y + z + 20z + -19z = 0 Combine like terms: 12x + -1x = 11x X + 11x + y + -3y + -11y + z + 20z + -19z = 0 Combine like terms: y + -3y = -2y X + 11x + -2y + -11y + z + 20z + -19z = 0 Combine like terms: -2y + -11y = -13y X + 11x + -13y + z + 20z + -19z = 0 Combine like terms: z + 20z = 21z X + 11x + -13y + 21z + -19z = 0 Combine like terms: 21z + -19z = 2z X + 11x + -13y + 2z = 0 Solving X + 11x + -13y + 2z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11x' to each side of the equation. X + 11x + -13y + -11x + 2z = 0 + -11x Reorder the terms: X + 11x + -11x + -13y + 2z = 0 + -11x Combine like terms: 11x + -11x = 0 X + 0 + -13y + 2z = 0 + -11x X + -13y + 2z = 0 + -11x Remove the zero: X + -13y + 2z = -11x Add '13y' to each side of the equation. X + -13y + 13y + 2z = -11x + 13y Combine like terms: -13y + 13y = 0 X + 0 + 2z = -11x + 13y X + 2z = -11x + 13y Add '-2z' to each side of the equation. X + 2z + -2z = -11x + 13y + -2z Combine like terms: 2z + -2z = 0 X + 0 = -11x + 13y + -2z X = -11x + 13y + -2z Simplifying X = -11x + 13y + -2z
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