Absolute values cannot be negative. If -x equals an absolute value, -x cannot be negative, so x cannot be positive. Since x ≠ 0, x must be negative.

This statement is sufficient.

The correct answer is A or D.

Statement (2)

Simplifying this expression gives us x = + 4 or - 4.

Therefore, x can be positive or negative and statement 2 alone isn’t sufficient.

The correct choice is A.