(4x + 3) - (10x + 11) = 7 + (13 - 4x)

To solve for x, let's simplify each side of the equation step by step.

Starting with the left side: (4x + 3) - (10x + 11) Simplify the expressions inside the parentheses: = 4x + 3 - 10x - 11

Now let's combine like terms: Combine the x terms: 4x - 10x = -6x Combine the constant terms: 3 - 11 = -8 So we have: -6x - 8

Now let's simplify the right side: 7 + (13 - 4x) Simplify the expression inside the parentheses: = 7 + 13 - 4x

Combine the constant terms: 7 + 13 = 20 So we have: 20 - 4x

Now that we have simplified both sides, we can set them equal to each other:

-6x - 8 = 20 - 4x

To solve for x, we will isolate the x terms on one side of the equation:

-6x + 4x = 20 + 8

Combine like terms: -2x = 28

Now, to solve for x, divide both sides of the equation by -2:

(-2x) / -2 = 28 / -2

Simplify: x = -14

So the solution to the equation is x = -14.