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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.\newline6x+109=82(9x+4) -6 x+10-9=8-2(9 x+4) \newline

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline6x+109=82(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+109=82(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=82(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=818x8-6x + 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=818x8-6x + 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.