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Simplifying (11x + -6y) + -1(2x + -3y + -1z) + (2y + -4z) = 0 Remove parenthesis around (11x + -6y) 11x + -6y + -1(2x + -3y + -1z) + (2y + -4z) = 0 11x + -6y + (2x * -1 + -3y * -1 + -1z * -1) + (2y + -4z) = 0 11x + -6y + (-2x + 3y + 1z) + (2y + -4z) = 0 Remove parenthesis around (2y + -4z) 11x + -6y + -2x + 3y + 1z + 2y + -4z = 0 Reorder the terms: 11x + -2x + -6y + 3y + 2y + 1z + -4z = 0 Combine like terms: 11x + -2x = 9x 9x + -6y + 3y + 2y + 1z + -4z = 0 Combine like terms: -6y + 3y = -3y 9x + -3y + 2y + 1z + -4z = 0 Combine like terms: -3y + 2y = -1y 9x + -1y + 1z + -4z = 0 Combine like terms: 1z + -4z = -3z 9x + -1y + -3z = 0 Solving 9x + -1y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 9x + -1y + y + -3z = 0 + y Combine like terms: -1y + y = 0 9x + 0 + -3z = 0 + y 9x + -3z = 0 + y Remove the zero: 9x + -3z = y Add '3z' to each side of the equation. 9x + -3z + 3z = y + 3z Combine like terms: -3z + 3z = 0 9x + 0 = y + 3z 9x = y + 3z Divide each side by '9'. x = 0.1111111111y + 0.3333333333z Simplifying x = 0.1111111111y + 0.3333333333z
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