-(x-v)+4 (4v + 2x)

-(X - V) + 4(4V + 2X) =

-X + V +16V + 8X =
17V + 7X.

To simplify the expression -(x-v)+4(4v + 2x), we need to apply the distributive property and combine like terms.

Let's start by distributing the 4 to the terms inside the parentheses: 4(4v + 2x) becomes 16v + 8x.

Now we can rewrite the expression as: -(x-v) + 16v + 8x.

Next, let's simplify the expression inside the parentheses -(x-v). To do this, we distribute the negative sign to both terms: -(x-v) becomes -x + v.

Now the expression is: -x + v + 16v + 8x.

To simplify further, we can combine the like terms. The -x and 8x terms can be combined to give -x + 8x, which simplifies to 7x. Similarly, the v and 16v terms can be combined to give v + 16v, which simplifies to 17v.

Finally, the expression can be written as: 7x + 17v.