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Let's solve the equation step by step:
(4x – 10) + 5 = x – 11
First, distribute the 5:
4x - 10 + 5 = x - 11
Combine like terms:
4x - 5 = x - 11
Next, subtract x from both sides:
4x - x - 5 = -11
3x - 5 = -11
Next, add 5 to both sides:
3x - 5 + 5 = -11 + 5
3x = -6
Finally, divide both sides by 3:
x = -6/3
Simplifying:
x = -2
So the solution to the equation is x = -2.