Final answer:
The simplified expression of 2(3x + 23v - 4x + 12y + 3) is -2x + 46v + 24y + 6. The provided options in the question seem to contain typos or are incorrect as none of them correctly reflects the simplified expression.
Step-by-step explanation:
When simplifying the expression 2(3x + 23v - 4x + 12y + 3), we first combine like terms inside the parentheses. We combine 3x and -4x to get -x, and there are no like terms to combine with 23v and 12y. After combining the terms, the expression inside the parentheses becomes -x + 23v + 12y + 3.
Next, we distribute the 2 across the terms inside the parentheses. This gives us:
- (2 * -x) which is -2x
- (2 * 23v) which is 46v
- (2 * 12y) which is 24y
- (2 * 3) which is 6
So, the simplified expression is -2x + 46v + 24y + 6. Notice that there is a mistake in the options provided in the question, where 23v should be 46v and there appears to be a typo with 7ox which should presumably be 70x or 7 times something. The correct answer is not listed among these options.