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Goodwill, Customer Relationships and Other Intangible Assets
9 Months Ended
Sep. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill, Customer Relationships and Other Intangible Assets
Goodwill, Customer Relationships and Other Intangible Assets

Goodwill, customer relationships and other intangible assets consisted of the following:
 
September 30, 2018
 
December 31, 2017
 
(Dollars in millions)
Goodwill
$
9,360

 
9,360

Customer relationships, less accumulated amortization of $4,693 and $4,337
$
1,006

 
1,362

Other intangible assets, less accumulated amortization of $1,684 and $1,619
$
328

 
379



As of September 30, 2018, the gross carrying amount of goodwill, customer relationships and other intangible assets was $17.1 billion. The total amortization expense for intangible assets for the three and nine months ended September 30, 2018 totaled $144 million and $440 million and for the three and nine months ended September 30, 2017 totaled $166 million and $507 million, respectively.

We estimate that total amortization expense for intangible assets for the years ending December 31, 2018 through 2022 will be as follows:
 
(Dollars in millions)
2018 (remaining three months)
$
141

2019
519

2020
452

2021
142

2022
38