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Simplifying x + 3y + z + -4x + x + y + z = 8 Reorder the terms: x + -4x + x + 3y + y + z + z = 8 Combine like terms: x + -4x = -3x -3x + x + 3y + y + z + z = 8 Combine like terms: -3x + x = -2x -2x + 3y + y + z + z = 8 Combine like terms: 3y + y = 4y -2x + 4y + z + z = 8 Combine like terms: z + z = 2z -2x + 4y + 2z = 8 Solving -2x + 4y + 2z = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -2x + 4y + -4y + 2z = 8 + -4y Combine like terms: 4y + -4y = 0 -2x + 0 + 2z = 8 + -4y -2x + 2z = 8 + -4y Add '-2z' to each side of the equation. -2x + 2z + -2z = 8 + -4y + -2z Combine like terms: 2z + -2z = 0 -2x + 0 = 8 + -4y + -2z -2x = 8 + -4y + -2z Divide each side by '-2'. x = -4 + 2y + z Simplifying x = -4 + 2y + z
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