Final answer:
Upon evaluating each equation by substituting x with 7, it is found that the equations labeled c and d do not hold true; hence, x = 7 is not a solution to these equations.
Step-by-step explanation:
The student is asking which of the given equations is not solved by x = 7. To find out, we need to substitute x with 7 in each equation and see which one does not hold true.
- a. x + 3 > 6: Substituting x with 7 gives us 7 + 3 > 6, which simplifies to 10 > 6. This is true, so x = 7 is a solution.
- b. 2(x + 1) = x + 9: Substituting x with 7 gives us 2(7 + 1) = 7 + 9, which simplifies to 16 = 16. This is true, so x = 7 is a solution.
- c. 3x - 1 = 2x + 3: Substituting x with 7 gives us 3(7) - 1 = 2(7) + 3, which simplifies to 20 = 17. This is not true, so x = 7 is not a solution.
- d. -2x + 10 = 0: Substituting x with 7 gives us -2(7) + 10 = 0, which simplifies to -4 = 0. This is not true, so x = 7 is not a solution.
Therefore, the equations c and d are not solved by x = 7, with equation c being the more standard algebraic format and thus likely the intended correct answer.