Excuse me, could you please clarify for me what exactly the coefficient refers to in the expression "4x"? I understand that "x" represents a variable, but I'm unsure about the numerical part that precedes it. Is the coefficient in this case simply the number "4", which is multiplied by the variable "x"? I'm looking for a clear and concise explanation to ensure I have a solid grasp of this fundamental concept in algebra and its application to more complex equations involving variables and coefficients.