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Simplifying (4x + 5y + z + -6) + (5x + -3y + -1z + 7) + (-2y + y + -4z + -3) = 0 Reorder the terms: (-6 + 4x + 5y + z) + (5x + -3y + -1z + 7) + (-2y + y + -4z + -3) = 0 Remove parenthesis around (-6 + 4x + 5y + z) -6 + 4x + 5y + z + (5x + -3y + -1z + 7) + (-2y + y + -4z + -3) = 0 Reorder the terms: -6 + 4x + 5y + z + (7 + 5x + -3y + -1z) + (-2y + y + -4z + -3) = 0 Remove parenthesis around (7 + 5x + -3y + -1z) -6 + 4x + 5y + z + 7 + 5x + -3y + -1z + (-2y + y + -4z + -3) = 0 Reorder the terms: -6 + 4x + 5y + z + 7 + 5x + -3y + -1z + (-3 + -2y + y + -4z) = 0 Combine like terms: -2y + y = -1y -6 + 4x + 5y + z + 7 + 5x + -3y + -1z + (-3 + -1y + -4z) = 0 Remove parenthesis around (-3 + -1y + -4z) -6 + 4x + 5y + z + 7 + 5x + -3y + -1z + -3 + -1y + -4z = 0 Reorder the terms: -6 + 7 + -3 + 4x + 5x + 5y + -3y + -1y + z + -1z + -4z = 0 Combine like terms: -6 + 7 = 1 1 + -3 + 4x + 5x + 5y + -3y + -1y + z + -1z + -4z = 0 Combine like terms: 1 + -3 = -2 -2 + 4x + 5x + 5y + -3y + -1y + z + -1z + -4z = 0 Combine like terms: 4x + 5x = 9x -2 + 9x + 5y + -3y + -1y + z + -1z + -4z = 0 Combine like terms: 5y + -3y = 2y -2 + 9x + 2y + -1y + z + -1z + -4z = 0 Combine like terms: 2y + -1y = 1y -2 + 9x + 1y + z + -1z + -4z = 0 Combine like terms: z + -1z = 0 -2 + 9x + 1y + 0 + -4z = 0 -2 + 9x + 1y + -4z = 0 Solving -2 + 9x + 1y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9x + 1y + 2 + -4z = 0 + 2 Reorder the terms: -2 + 2 + 9x + 1y + -4z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x + 1y + -4z = 0 + 2 9x + 1y + -4z = 0 + 2 Combine like terms: 0 + 2 = 2 9x + 1y + -4z = 2 Add '-1y' to each side of the equation. 9x + 1y + -1y + -4z = 2 + -1y Combine like terms: 1y + -1y = 0 9x + 0 + -4z = 2 + -1y 9x + -4z = 2 + -1y Add '4z' to each side of the equation. 9x + -4z + 4z = 2 + -1y + 4z Combine like terms: -4z + 4z = 0 9x + 0 = 2 + -1y + 4z 9x = 2 + -1y + 4z Divide each side by '9'. x = 0.2222222222 + -0.1111111111y + 0.4444444444z Simplifying x = 0.2222222222 + -0.1111111111y + 0.4444444444z
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