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To solve the equation, we need to combine like terms and then isolate the variable x.
First, we can simplify each group of terms inside the parentheses:
(x - 6) + (4x - 14) + (5x) = 180
Combining like terms, we get:
x + 4x + 5x - 6 - 14 = 180
10x - 20 = 180
Next, we can add 20 to both sides of the equation to isolate the variable term:
10x - 20 + 20 = 180 + 20
10x = 200
Finally, we divide both sides of the equation by 10 to solve for x:
10x/10 = 200/10
x = 20
Therefore, the solution to the equation is x = 20.