1. Problem: Solve the equation from the fifth task, which involves an integral production function and algebraic expressions. 2. Since the exact equation is not fully clear from the input, let's assume the fifth task refers to the expression involving $Q = 25 - (7 + x) rv - rx + x 25$ and related terms. 3. Step 1: Write down the equation clearly: $$Q = 25 - (7 + x)rv - rx + 25x$$ 4. Step 2: Expand and simplify the terms: $$Q = 25 - 7rv - xrv - rx + 25x$$ 5. Step 3: Group like terms involving $x$: $$Q = 25 - 7rv + x(25 - rv - r)$$ 6. Step 4: To solve for $x$, isolate $x$: $$Q - 25 + 7rv = x(25 - rv - r)$$ 7. Step 5: Divide both sides by $(25 - rv - r)$: $$x = \frac{Q - 25 + 7rv}{25 - rv - r}$$ 8. Explanation: This formula expresses $x$ in terms of $Q$, $r$, and $v$. To find a numeric value, substitute known values for $Q$, $r$, and $v$. Final answer: $$x = \frac{Q - 25 + 7rv}{25 - rv - r}$$ This completes the solution for the fifth task equation based on the given expression.