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Solve the following equation for x. Express your answer in the simplest form. -(5x-7)-3=5x+2(-5x+2)

Solve the following equation for x x . Express your answer in the simplest form.\newline−(5x−7)−3=5x+2(−5x+2) -(5 x-7)-3=5 x+2(-5 x+2) \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline−(5x−7)−3=5x+2(−5x+2) -(5 x-7)-3=5 x+2(-5 x+2) \newline
  1. Combine like terms: Now, we have −5x+4-5x + 4 on both sides of the equation.\newlineSet the equation −5x+4=−5x+4-5x + 4 = -5x + 4 and simplify.\newlineSubtract −5x-5x from both sides to get 4=44 = 4.
  2. Simplify and subtract: Since 4=44 = 4 is a true statement and xx has been eliminated, this means that the equation is true for all values of xx. The solution is all real numbers.

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