[INST] Find the smallest value of x that satisfies the equation |3x+7|=26./n [/INST]  ###Response: To solve the equation |3x+7|=26 for the smallest value of x, we can split the expression into two cases: 3x+7=26 and 3x+7=-26. Solving the first case gives x=19/3, while solving the second case gives x=-11. Therefore, the smallest value of x that satisfies the equation is -11.