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Answer:

Here are the simplified steps for dividing x^3 + 3x^2 - 3x - 5 by x^2 + x - 1:

Step 1: Divide the leading term of the dividend (x^3) by the leading term of the divisor (x^2) to get x. Write this as the first term of the quotient.

Step 2: Multiply the divisor (x^2 + x - 1) by the quotient term (x) and subtract it from the dividend (x^3 + 3x^2 - 3x - 5).

Step 3: Repeat steps 1 and 2 with the new dividend (2x^2 - 2x - 5) and the divisor (x^2 + x - 1).

Step 4: Continue dividing until you cannot divide any further.

The final result is the quotient: x - 2.

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