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Solve the following equation for x. Express your answer in the simplest form. 4(5x-7)-2=-6+5(4x-5)

Solve the following equation for x x . Express your answer in the simplest form.\newline4(5x−7)−2=−6+5(4x−5) 4(5 x-7)-2=-6+5(4 x-5) \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline4(5x−7)−2=−6+5(4x−5) 4(5 x-7)-2=-6+5(4 x-5) \newline
  1. Combine like terms: Combine like terms on both sides of the equation. 20x−30=−6+20x−2520x - 30 = -6 + 20x - 25
  2. Move variable and constant terms: Now, let's move the variable terms to one side and the constant terms to the other side.\newlineSubtract 20x20x from both sides.\newline20x−20x−30=−6−25−20x+20x20x - 20x - 30 = -6 - 25 - 20x + 20x\newline0−30=−310 - 30 = -31

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