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Simplifying (3x + 5y + z + 8) + (4x + -4y + -1x + 9) + (-2x + y + -3z + -4) = 0 Reorder the terms: (8 + 3x + 5y + z) + (4x + -4y + -1x + 9) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (8 + 3x + 5y + z) 8 + 3x + 5y + z + (4x + -4y + -1x + 9) + (-2x + y + -3z + -4) = 0 Reorder the terms: 8 + 3x + 5y + z + (9 + 4x + -1x + -4y) + (-2x + y + -3z + -4) = 0 Combine like terms: 4x + -1x = 3x 8 + 3x + 5y + z + (9 + 3x + -4y) + (-2x + y + -3z + -4) = 0 Remove parenthesis around (9 + 3x + -4y) 8 + 3x + 5y + z + 9 + 3x + -4y + (-2x + y + -3z + -4) = 0 Reorder the terms: 8 + 3x + 5y + z + 9 + 3x + -4y + (-4 + -2x + y + -3z) = 0 Remove parenthesis around (-4 + -2x + y + -3z) 8 + 3x + 5y + z + 9 + 3x + -4y + -4 + -2x + y + -3z = 0 Reorder the terms: 8 + 9 + -4 + 3x + 3x + -2x + 5y + -4y + y + z + -3z = 0 Combine like terms: 8 + 9 = 17 17 + -4 + 3x + 3x + -2x + 5y + -4y + y + z + -3z = 0 Combine like terms: 17 + -4 = 13 13 + 3x + 3x + -2x + 5y + -4y + y + z + -3z = 0 Combine like terms: 3x + 3x = 6x 13 + 6x + -2x + 5y + -4y + y + z + -3z = 0 Combine like terms: 6x + -2x = 4x 13 + 4x + 5y + -4y + y + z + -3z = 0 Combine like terms: 5y + -4y = 1y 13 + 4x + 1y + y + z + -3z = 0 Combine like terms: 1y + y = 2y 13 + 4x + 2y + z + -3z = 0 Combine like terms: z + -3z = -2z 13 + 4x + 2y + -2z = 0 Solving 13 + 4x + 2y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 4x + 2y + -13 + -2z = 0 + -13 Reorder the terms: 13 + -13 + 4x + 2y + -2z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x + 2y + -2z = 0 + -13 4x + 2y + -2z = 0 + -13 Combine like terms: 0 + -13 = -13 4x + 2y + -2z = -13 Add '-2y' to each side of the equation. 4x + 2y + -2y + -2z = -13 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + -2z = -13 + -2y 4x + -2z = -13 + -2y Add '2z' to each side of the equation. 4x + -2z + 2z = -13 + -2y + 2z Combine like terms: -2z + 2z = 0 4x + 0 = -13 + -2y + 2z 4x = -13 + -2y + 2z Divide each side by '4'. x = -3.25 + -0.5y + 0.5z Simplifying x = -3.25 + -0.5y + 0.5z
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