Determine the Value of Integer x

Medium Problem Solving Algebra

What is the value of the integer $x$?

Statement (1): $x^2 + x - 6 = 0$

Statement (2): $x + 3 = 0$

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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