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Simplifying (3x + 5y + z + -7) + (8x + -2y + -1z + 8) + (-4x + y + -4z + -2) = 0 Reorder the terms: (-7 + 3x + 5y + z) + (8x + -2y + -1z + 8) + (-4x + y + -4z + -2) = 0 Remove parenthesis around (-7 + 3x + 5y + z) -7 + 3x + 5y + z + (8x + -2y + -1z + 8) + (-4x + y + -4z + -2) = 0 Reorder the terms: -7 + 3x + 5y + z + (8 + 8x + -2y + -1z) + (-4x + y + -4z + -2) = 0 Remove parenthesis around (8 + 8x + -2y + -1z) -7 + 3x + 5y + z + 8 + 8x + -2y + -1z + (-4x + y + -4z + -2) = 0 Reorder the terms: -7 + 3x + 5y + z + 8 + 8x + -2y + -1z + (-2 + -4x + y + -4z) = 0 Remove parenthesis around (-2 + -4x + y + -4z) -7 + 3x + 5y + z + 8 + 8x + -2y + -1z + -2 + -4x + y + -4z = 0 Reorder the terms: -7 + 8 + -2 + 3x + 8x + -4x + 5y + -2y + y + z + -1z + -4z = 0 Combine like terms: -7 + 8 = 1 1 + -2 + 3x + 8x + -4x + 5y + -2y + y + z + -1z + -4z = 0 Combine like terms: 1 + -2 = -1 -1 + 3x + 8x + -4x + 5y + -2y + y + z + -1z + -4z = 0 Combine like terms: 3x + 8x = 11x -1 + 11x + -4x + 5y + -2y + y + z + -1z + -4z = 0 Combine like terms: 11x + -4x = 7x -1 + 7x + 5y + -2y + y + z + -1z + -4z = 0 Combine like terms: 5y + -2y = 3y -1 + 7x + 3y + y + z + -1z + -4z = 0 Combine like terms: 3y + y = 4y -1 + 7x + 4y + z + -1z + -4z = 0 Combine like terms: z + -1z = 0 -1 + 7x + 4y + 0 + -4z = 0 -1 + 7x + 4y + -4z = 0 Solving -1 + 7x + 4y + -4z = 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 + 4y + 1 + -4z = 0 + 1 Reorder the terms: -1 + 1 + 7x + 4y + -4z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x + 4y + -4z = 0 + 1 7x + 4y + -4z = 0 + 1 Combine like terms: 0 + 1 = 1 7x + 4y + -4z = 1 Add '-4y' to each side of the equation. 7x + 4y + -4y + -4z = 1 + -4y Combine like terms: 4y + -4y = 0 7x + 0 + -4z = 1 + -4y 7x + -4z = 1 + -4y Add '4z' to each side of the equation. 7x + -4z + 4z = 1 + -4y + 4z Combine like terms: -4z + 4z = 0 7x + 0 = 1 + -4y + 4z 7x = 1 + -4y + 4z Divide each side by '7'. x = 0.1428571429 + -0.5714285714y + 0.5714285714z Simplifying x = 0.1428571429 + -0.5714285714y + 0.5714285714z
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