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8. kadeem is solving the linear equation ( x - 3(2 - 3x) = 2(5x + 3) ).…

Question

  1. kadeem is solving the linear equation ( x - 3(2 - 3x) = 2(5x + 3) ). here are his final two steps. select the statement that correctly describes kadeem’s solution. a. the solution is the ordered pair (-6, 6). b. the solution is ( x = 0 ). c. there are infinitely many solutions since ( -6 = 6 ) is a false statement. d. there is no solution because ( -6 = 6 ) is a false statement. kadeem (-6 + 10x = 10x + 6) (-6 = 6)

Explanation:

Step1: Analyze final equation

The final step results in $-6 = 6$, which is a false statement with no variable $x$ remaining.

Step2: Interpret false identity

When simplifying a linear equation leads to a false statement with no variable, it means no value of $x$ can satisfy the original equation.

Answer:

D. There is no solution because -6 = 6 is a false statement.