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Solve for x : -6x=3(2x-7)-6x Answer: x=

Solve for x x :\newline−6x=3(2x−7)−6x -6 x=3(2 x-7)-6 x \newlineAnswer: x= x=

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Full solution

Q. Solve for x x :\newline−6x=3(2x−7)−6x -6 x=3(2 x-7)-6 x \newlineAnswer: x= x=
  1. Distribute and Simplify: First, let's distribute the 33 into the parentheses on the right side of the equation.\newline−6x=3×2x−3×7−6x-6x = 3 \times 2x - 3 \times 7 - 6x\newline−6x=6x−21−6x-6x = 6x - 21 - 6x
  2. Combine Like Terms: Now, let's combine like terms on both sides of the equation.\newline−6x+6x=6x−6x−21-6x + 6x = 6x - 6x - 21\newline0=−210 = -21
  3. Identify No Solution: We see that the variable xx has been eliminated, and we are left with a statement that 00 equals −21-21, which is not true. This means there is no solution for xx that would satisfy the original equation.

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