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Simplifying (2x + 5y + 2 + -8) + (5x + -4y + -2 + 9) + (-4x + y + -3z + -4) = 0 Reorder the terms: (2 + -8 + 2x + 5y) + (5x + -4y + -2 + 9) + (-4x + y + -3z + -4) = 0 Combine like terms: 2 + -8 = -6 (-6 + 2x + 5y) + (5x + -4y + -2 + 9) + (-4x + y + -3z + -4) = 0 Remove parenthesis around (-6 + 2x + 5y) -6 + 2x + 5y + (5x + -4y + -2 + 9) + (-4x + y + -3z + -4) = 0 Reorder the terms: -6 + 2x + 5y + (-2 + 9 + 5x + -4y) + (-4x + y + -3z + -4) = 0 Combine like terms: -2 + 9 = 7 -6 + 2x + 5y + (7 + 5x + -4y) + (-4x + y + -3z + -4) = 0 Remove parenthesis around (7 + 5x + -4y) -6 + 2x + 5y + 7 + 5x + -4y + (-4x + y + -3z + -4) = 0 Reorder the terms: -6 + 2x + 5y + 7 + 5x + -4y + (-4 + -4x + y + -3z) = 0 Remove parenthesis around (-4 + -4x + y + -3z) -6 + 2x + 5y + 7 + 5x + -4y + -4 + -4x + y + -3z = 0 Reorder the terms: -6 + 7 + -4 + 2x + 5x + -4x + 5y + -4y + y + -3z = 0 Combine like terms: -6 + 7 = 1 1 + -4 + 2x + 5x + -4x + 5y + -4y + y + -3z = 0 Combine like terms: 1 + -4 = -3 -3 + 2x + 5x + -4x + 5y + -4y + y + -3z = 0 Combine like terms: 2x + 5x = 7x -3 + 7x + -4x + 5y + -4y + y + -3z = 0 Combine like terms: 7x + -4x = 3x -3 + 3x + 5y + -4y + y + -3z = 0 Combine like terms: 5y + -4y = 1y -3 + 3x + 1y + y + -3z = 0 Combine like terms: 1y + y = 2y -3 + 3x + 2y + -3z = 0 Solving -3 + 3x + 2y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3x + 2y + 3 + -3z = 0 + 3 Reorder the terms: -3 + 3 + 3x + 2y + -3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3x + 2y + -3z = 0 + 3 3x + 2y + -3z = 0 + 3 Combine like terms: 0 + 3 = 3 3x + 2y + -3z = 3 Add '-2y' to each side of the equation. 3x + 2y + -2y + -3z = 3 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + -3z = 3 + -2y 3x + -3z = 3 + -2y Add '3z' to each side of the equation. 3x + -3z + 3z = 3 + -2y + 3z Combine like terms: -3z + 3z = 0 3x + 0 = 3 + -2y + 3z 3x = 3 + -2y + 3z Divide each side by '3'. x = 1 + -0.6666666667y + z Simplifying x = 1 + -0.6666666667y + z
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