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Simplifying (2x + 4y + z + -7) + (8x + -2y + -1z + 8) + (-4x + y + -3z + -2) = 0 Reorder the terms: (-7 + 2x + 4y + z) + (8x + -2y + -1z + 8) + (-4x + y + -3z + -2) = 0 Remove parenthesis around (-7 + 2x + 4y + z) -7 + 2x + 4y + z + (8x + -2y + -1z + 8) + (-4x + y + -3z + -2) = 0 Reorder the terms: -7 + 2x + 4y + z + (8 + 8x + -2y + -1z) + (-4x + y + -3z + -2) = 0 Remove parenthesis around (8 + 8x + -2y + -1z) -7 + 2x + 4y + z + 8 + 8x + -2y + -1z + (-4x + y + -3z + -2) = 0 Reorder the terms: -7 + 2x + 4y + z + 8 + 8x + -2y + -1z + (-2 + -4x + y + -3z) = 0 Remove parenthesis around (-2 + -4x + y + -3z) -7 + 2x + 4y + z + 8 + 8x + -2y + -1z + -2 + -4x + y + -3z = 0 Reorder the terms: -7 + 8 + -2 + 2x + 8x + -4x + 4y + -2y + y + z + -1z + -3z = 0 Combine like terms: -7 + 8 = 1 1 + -2 + 2x + 8x + -4x + 4y + -2y + y + z + -1z + -3z = 0 Combine like terms: 1 + -2 = -1 -1 + 2x + 8x + -4x + 4y + -2y + y + z + -1z + -3z = 0 Combine like terms: 2x + 8x = 10x -1 + 10x + -4x + 4y + -2y + y + z + -1z + -3z = 0 Combine like terms: 10x + -4x = 6x -1 + 6x + 4y + -2y + y + z + -1z + -3z = 0 Combine like terms: 4y + -2y = 2y -1 + 6x + 2y + y + z + -1z + -3z = 0 Combine like terms: 2y + y = 3y -1 + 6x + 3y + z + -1z + -3z = 0 Combine like terms: z + -1z = 0 -1 + 6x + 3y + 0 + -3z = 0 -1 + 6x + 3y + -3z = 0 Solving -1 + 6x + 3y + -3z = 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 + 6x + 3y + 1 + -3z = 0 + 1 Reorder the terms: -1 + 1 + 6x + 3y + -3z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + 3y + -3z = 0 + 1 6x + 3y + -3z = 0 + 1 Combine like terms: 0 + 1 = 1 6x + 3y + -3z = 1 Add '-3y' to each side of the equation. 6x + 3y + -3y + -3z = 1 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + -3z = 1 + -3y 6x + -3z = 1 + -3y Add '3z' to each side of the equation. 6x + -3z + 3z = 1 + -3y + 3z Combine like terms: -3z + 3z = 0 6x + 0 = 1 + -3y + 3z 6x = 1 + -3y + 3z Divide each side by '6'. x = 0.1666666667 + -0.5y + 0.5z Simplifying x = 0.1666666667 + -0.5y + 0.5z
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