1. **State the problem:** Solve the equation $2x + kx = m$ for $x$. 2. **Combine like terms:** Since both terms on the left contain $x$, factor it out: $$2x + kx = (2 + k)x$$ 3. **Rewrite the equation:** $$(2 + k)x = m$$ 4. **Isolate $x$:** To solve for $x$, divide both sides by $(2 + k)$: $$x = \frac{m}{2 + k}$$ 5. **Show cancellation step:** $$x = \frac{\cancel{m}}{\cancel{2 + k}}$$ (This step shows division by the entire factor $(2 + k)$, no cancellation inside numerator or denominator since they are different.) 6. **Final answer:** $$x = \frac{m}{2 + k}$$ This means $x$ is equal to $m$ divided by the sum of 2 and $k$.