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Simplifying (4x + 5y + 2 + -8) + (6x + -4y + -1z + 9) + (-2x + y + -32 + -4) = 0 Reorder the terms: (2 + -8 + 4x + 5y) + (6x + -4y + -1z + 9) + (-2x + y + -32 + -4) = 0 Combine like terms: 2 + -8 = -6 (-6 + 4x + 5y) + (6x + -4y + -1z + 9) + (-2x + y + -32 + -4) = 0 Remove parenthesis around (-6 + 4x + 5y) -6 + 4x + 5y + (6x + -4y + -1z + 9) + (-2x + y + -32 + -4) = 0 Reorder the terms: -6 + 4x + 5y + (9 + 6x + -4y + -1z) + (-2x + y + -32 + -4) = 0 Remove parenthesis around (9 + 6x + -4y + -1z) -6 + 4x + 5y + 9 + 6x + -4y + -1z + (-2x + y + -32 + -4) = 0 Reorder the terms: -6 + 4x + 5y + 9 + 6x + -4y + -1z + (-32 + -4 + -2x + y) = 0 Combine like terms: -32 + -4 = -36 -6 + 4x + 5y + 9 + 6x + -4y + -1z + (-36 + -2x + y) = 0 Remove parenthesis around (-36 + -2x + y) -6 + 4x + 5y + 9 + 6x + -4y + -1z + -36 + -2x + y = 0 Reorder the terms: -6 + 9 + -36 + 4x + 6x + -2x + 5y + -4y + y + -1z = 0 Combine like terms: -6 + 9 = 3 3 + -36 + 4x + 6x + -2x + 5y + -4y + y + -1z = 0 Combine like terms: 3 + -36 = -33 -33 + 4x + 6x + -2x + 5y + -4y + y + -1z = 0 Combine like terms: 4x + 6x = 10x -33 + 10x + -2x + 5y + -4y + y + -1z = 0 Combine like terms: 10x + -2x = 8x -33 + 8x + 5y + -4y + y + -1z = 0 Combine like terms: 5y + -4y = 1y -33 + 8x + 1y + y + -1z = 0 Combine like terms: 1y + y = 2y -33 + 8x + 2y + -1z = 0 Solving -33 + 8x + 2y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 8x + 2y + 33 + -1z = 0 + 33 Reorder the terms: -33 + 33 + 8x + 2y + -1z = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 8x + 2y + -1z = 0 + 33 8x + 2y + -1z = 0 + 33 Combine like terms: 0 + 33 = 33 8x + 2y + -1z = 33 Add '-2y' to each side of the equation. 8x + 2y + -2y + -1z = 33 + -2y Combine like terms: 2y + -2y = 0 8x + 0 + -1z = 33 + -2y 8x + -1z = 33 + -2y Add 'z' to each side of the equation. 8x + -1z + z = 33 + -2y + z Combine like terms: -1z + z = 0 8x + 0 = 33 + -2y + z 8x = 33 + -2y + z Divide each side by '8'. x = 4.125 + -0.25y + 0.125z Simplifying x = 4.125 + -0.25y + 0.125z
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