Final answer:
The phrase 'A number x increased by 6, and then doubled' translates to the algebraic expression 2x + 12, but none of the given answer choices match this. There may be a typo in the provided options.
Step-by-step explanation:
The phrase "A number x increased by 6, and then doubled" can be translated into an algebraic expression. First, you would increase x by 6, which is represented by x+6. Next, you need to double the entire sum, which means you would multiply (x+6) by 2. The correct expression for this phrase is therefore 2(x+6) which simplifies to 2x + 12. However, none of the given options match this result, so it seems there might be a mistake in the provided options. If this is a typo and one of the options was meant to be 2x + 12, then that would be the correct choice. Otherwise, with the options given, none represent the correct expression.