"I would explain that technical debt represents the cost that must be incurred to address quality issues that occur during the development process. The root cause of technical debt can be timeline constraints, lack of knowledge/expertise, budget issues, or an inability to leverage the best technology available at the time of development.
I would help convince my client to invest in resolving the debt by offering examples of how a failure to address technical debt resulted in additional future expenses and time making business-driven system changes. I would lean on a metaphor to help explain technical debt in the event I am working with a client that is not tech-savvy. Finally, I would work with my client to help them understand the potential impact on their budget and implementation timelines.