Toys were packed into x boxes so that each box contained the same number of toys, with no toys left unpacked. If 3 fewer boxes had been used instead, then 12 toys would have been packed in each box, with 5 toys left unpacked. What is the value of x?

If only 11 boxes were used, the calculation would not allow for a proper distribution of toys given the conditions of the problem. The scenario described would not accommodate the packing of additional toys without leaving any unpacked, given the constraints of the other box arrangements.

Using 14 boxes does not satisfy the conditions either, as it would not allow for the proper number of toys to lead to a situation where 12 toys could be packed in 25 boxes with 5 remaining. The calculations would not align with the total number of toys specified in the problem.

If 31 boxes were used, it would imply that packing toys into fewer boxes would not yield a realistic scenario where exactly 12 toys per box could be achieved with 5 leftover. The numbers would not compute correctly under the conditions provided.

Selecting 34 boxes also fails to meet the problem's requirements, as it would create a situation where the distribution of toys would again not conform to the defined constraints of the fewer boxes holding 12 toys each with leftovers remaining.