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Simplifying (2x + 4y + 2 + -8) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0 Reorder the terms: (2 + -8 + 2x + 4y) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0 Combine like terms: 2 + -8 = -6 (-6 + 2x + 4y) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0 Remove parenthesis around (-6 + 2x + 4y) -6 + 2x + 4y + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0 Reorder the terms: -6 + 2x + 4y + (-2 + 9 + 8x + -3y) + (-3x + y + -2z + -2) = 0 Combine like terms: -2 + 9 = 7 -6 + 2x + 4y + (7 + 8x + -3y) + (-3x + y + -2z + -2) = 0 Remove parenthesis around (7 + 8x + -3y) -6 + 2x + 4y + 7 + 8x + -3y + (-3x + y + -2z + -2) = 0 Reorder the terms: -6 + 2x + 4y + 7 + 8x + -3y + (-2 + -3x + y + -2z) = 0 Remove parenthesis around (-2 + -3x + y + -2z) -6 + 2x + 4y + 7 + 8x + -3y + -2 + -3x + y + -2z = 0 Reorder the terms: -6 + 7 + -2 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0 Combine like terms: -6 + 7 = 1 1 + -2 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0 Combine like terms: 1 + -2 = -1 -1 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0 Combine like terms: 2x + 8x = 10x -1 + 10x + -3x + 4y + -3y + y + -2z = 0 Combine like terms: 10x + -3x = 7x -1 + 7x + 4y + -3y + y + -2z = 0 Combine like terms: 4y + -3y = 1y -1 + 7x + 1y + y + -2z = 0 Combine like terms: 1y + y = 2y -1 + 7x + 2y + -2z = 0 Solving -1 + 7x + 2y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7x + 2y + 1 + -2z = 0 + 1 Reorder the terms: -1 + 1 + 7x + 2y + -2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x + 2y + -2z = 0 + 1 7x + 2y + -2z = 0 + 1 Combine like terms: 0 + 1 = 1 7x + 2y + -2z = 1 Add '-2y' to each side of the equation. 7x + 2y + -2y + -2z = 1 + -2y Combine like terms: 2y + -2y = 0 7x + 0 + -2z = 1 + -2y 7x + -2z = 1 + -2y Add '2z' to each side of the equation. 7x + -2z + 2z = 1 + -2y + 2z Combine like terms: -2z + 2z = 0 7x + 0 = 1 + -2y + 2z 7x = 1 + -2y + 2z Divide each side by '7'. x = 0.1428571429 + -0.2857142857y + 0.2857142857z Simplifying x = 0.1428571429 + -0.2857142857y + 0.2857142857z
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