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Simplifying (4x + 5y + z + -8) + (5x + -4y + -1z + 9) + (-2x + y + -3z + -4) = 0 Reorder the terms: (-8 + 4x + 5y + z) + (5x + -4y + -1z + 9) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (-8 + 4x + 5y + z) -8 + 4x + 5y + z + (5x + -4y + -1z + 9) + (-2x + y + -3z + -4) = 0 Reorder the terms: -8 + 4x + 5y + z + (9 + 5x + -4y + -1z) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (9 + 5x + -4y + -1z) -8 + 4x + 5y + z + 9 + 5x + -4y + -1z + (-2x + y + -3z + -4) = 0 Reorder the terms: -8 + 4x + 5y + z + 9 + 5x + -4y + -1z + (-4 + -2x + y + -3z) = 0 Remove parenthesis around (-4 + -2x + y + -3z) -8 + 4x + 5y + z + 9 + 5x + -4y + -1z + -4 + -2x + y + -3z = 0 Reorder the terms: -8 + 9 + -4 + 4x + 5x + -2x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: -8 + 9 = 1 1 + -4 + 4x + 5x + -2x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 1 + -4 = -3 -3 + 4x + 5x + -2x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 4x + 5x = 9x -3 + 9x + -2x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 9x + -2x = 7x -3 + 7x + 5y + -4y + y + z + -1z + -3z = 0 Combine like terms: 5y + -4y = 1y -3 + 7x + 1y + y + z + -1z + -3z = 0 Combine like terms: 1y + y = 2y -3 + 7x + 2y + z + -1z + -3z = 0 Combine like terms: z + -1z = 0 -3 + 7x + 2y + 0 + -3z = 0 -3 + 7x + 2y + -3z = 0 Solving -3 + 7x + 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 + 7x + 2y + 3 + -3z = 0 + 3 Reorder the terms: -3 + 3 + 7x + 2y + -3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x + 2y + -3z = 0 + 3 7x + 2y + -3z = 0 + 3 Combine like terms: 0 + 3 = 3 7x + 2y + -3z = 3 Add '-2y' to each side of the equation. 7x + 2y + -2y + -3z = 3 + -2y Combine like terms: 2y + -2y = 0 7x + 0 + -3z = 3 + -2y 7x + -3z = 3 + -2y Add '3z' to each side of the equation. 7x + -3z + 3z = 3 + -2y + 3z Combine like terms: -3z + 3z = 0 7x + 0 = 3 + -2y + 3z 7x = 3 + -2y + 3z Divide each side by '7'. x = 0.4285714286 + -0.2857142857y + 0.4285714286z Simplifying x = 0.4285714286 + -0.2857142857y + 0.4285714286z
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