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Solve the following equation for x. Express your answer in the simplest form. -6x+10-9=8-2(9x+4)

Solve the following equation for x x . Express your answer in the simplest form.\newline−6x+10−9=8−2(9x+4) -6 x+10-9=8-2(9 x+4) \newline

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Q. Solve the following equation for x x . Express your answer in the simplest form.\newline−6x+10−9=8−2(9x+4) -6 x+10-9=8-2(9 x+4) \newline
  1. Combine like terms: question_prompt: Solve for xx in the equation −6x+10−9=8−2(9x+4)-6x + 10 - 9 = 8 - 2(9x + 4).
  2. Distribute on right side: First, simplify both sides of the equation by combining like terms. On the left side, combine 1010 and −9-9 to get 11. So, −6x+1=8−2(9x+4)-6x + 1 = 8 - 2(9x + 4).
  3. Combine like terms on right side: Next, distribute the −2-2 on the right side of the equation to both 9x9x and 44. This gives us −6x+1=8−18x−8-6x + 1 = 8 - 18x - 8.
  4. Combine like terms on right side: Next, distribute the −2-2 on the right side of the equation to both 9x9x and 44. This gives us −6x+1=8−18x−8-6x + 1 = 8 - 18x - 8. Now, combine like terms on the right side. 88 and −8-8 cancel each other out, leaving −6x+1=−18x-6x + 1 = -18x.

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