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Simplifying (2x + 5y + z + -8) + (8x + -4y + -1z + 9) + (-3 + y + -3z + -2) = 0 Reorder the terms: (-8 + 2x + 5y + z) + (8x + -4y + -1z + 9) + (-3 + y + -3z + -2) = 0 Remove parenthesis around (-8 + 2x + 5y + z) -8 + 2x + 5y + z + (8x + -4y + -1z + 9) + (-3 + y + -3z + -2) = 0 Reorder the terms: -8 + 2x + 5y + z + (9 + 8x + -4y + -1z) + (-3 + y + -3z + -2) = 0 Remove parenthesis around (9 + 8x + -4y + -1z) -8 + 2x + 5y + z + 9 + 8x + -4y + -1z + (-3 + y + -3z + -2) = 0 Reorder the terms: -8 + 2x + 5y + z + 9 + 8x + -4y + -1z + (-3 + -2 + y + -3z) = 0 Combine like terms: -3 + -2 = -5 -8 + 2x + 5y + z + 9 + 8x + -4y + -1z + (-5 + y + -3z) = 0 Remove parenthesis around (-5 + y + -3z) -8 + 2x + 5y + z + 9 + 8x + -4y + -1z + -5 + y + -3z = 0 Reorder the terms: -8 + 9 + -5 + 2x + 8x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: -8 + 9 = 1 1 + -5 + 2x + 8x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 1 + -5 = -4 -4 + 2x + 8x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 2x + 8x = 10x -4 + 10x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 5y + -4y = 1y -4 + 10x + 1y + y + z + -1z + -3z = 0 Combine like terms: 1y + y = 2y -4 + 10x + 2y + z + -1z + -3z = 0 Combine like terms: z + -1z = 0 -4 + 10x + 2y + 0 + -3z = 0 -4 + 10x + 2y + -3z = 0 Solving -4 + 10x + 2y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 10x + 2y + 4 + -3z = 0 + 4 Reorder the terms: -4 + 4 + 10x + 2y + -3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10x + 2y + -3z = 0 + 4 10x + 2y + -3z = 0 + 4 Combine like terms: 0 + 4 = 4 10x + 2y + -3z = 4 Add '-2y' to each side of the equation. 10x + 2y + -2y + -3z = 4 + -2y Combine like terms: 2y + -2y = 0 10x + 0 + -3z = 4 + -2y 10x + -3z = 4 + -2y Add '3z' to each side of the equation. 10x + -3z + 3z = 4 + -2y + 3z Combine like terms: -3z + 3z = 0 10x + 0 = 4 + -2y + 3z 10x = 4 + -2y + 3z Divide each side by '10'. x = 0.4 + -0.2y + 0.3z Simplifying x = 0.4 + -0.2y + 0.3z
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