Final answer:
The question contains a complex mathematical expression. A step-by-step explanation is needed, however, the question did not provide a clear math problem to solve. It is implied that the quadratic formula may be necessary if x is within a quadratic equation.
Step-by-step explanation:
The student has asked for the step-by-step process of simplifying the expression 5 + ((x + 3) / (2x² + 5x - 3) / (x + 1)). Unfortunately, the question seems to contain some extraneous information and symbols that do not contribute to solving the expression. Nevertheless, we will address the part of the expression that can be interpreted and simplified.
To simplify the complex fraction within the expression, we need to find common denominators and then perform the division. However, it's difficult to provide a step-by-step solution without more context or clarification on the expression at hand, notably regarding how the denominators interact.
It is also important to note the evaluation of x provided, which suggests using the quadratic formula may be required to solve for x when it appears in a quadratic equation.