Determine the Value of x

Medium Data Sufficiency Determining Sufficiency

What is the value of the integer $x$?

Statement (1): The sum of $x$ and 4 is greater than 10.

Statement (2): The product of $x$ and 3 is even.

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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