The value of x that solves the equation is 33 degrees.
To solve for x in the given triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
The given three angles in the triangle are x degrees, 45 degrees, and (3x+3) degrees.
So we have the equation: x + 45 + (3x+3) = 180.
To solve this equation, we can combine like terms: 4x + 48 = 180.
Next, we can subtract 48 from both sides of the equation: 4x = 180 - 48.
Simplifying further, we get: 4x = 132.
Finally, we can divide both sides of the equation by 4 to solve for x: x = 132/4.
Simplifying the division, we find that x = 33.
Therefore, the value of x that solves the equation is 33 degrees.