1. **State the problem:** Solve the inequality $3x + 7 \geq 2x$. 2. **Isolate the variable:** Subtract $2x$ from both sides: $$3x + 7 - 2x \geq 0 \implies x + 7 \geq 0$$ 3. **Simplify:** $$x \geq -7$$ 4. **Interpretation:** The solution set includes all $x$ such that $x$ is greater than or equal to $-7$. **Final answer:** $$x \geq -7$$