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Goodwill, Customer Relationships and Other Intangible Assets (Tables)
12 Months Ended
Dec. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of goodwill, customer relationships and other intangible assets
Goodwill, customer relationships and other intangible assets consisted of the following:
 
As of December 31,
 
2018
 
2017
 
(Dollars in millions)
Goodwill
$
9,360

 
9,360

Customer relationships, less accumulated amortization of $4,806 and $4,337
$
893

 
1,362

Other intangible assets subject to amortization:
 
 
 
Capitalized software, less accumulated amortization of $1,712 and $1,619
$
311

 
379

Summary of amortization expense
Total amortization expense for intangible assets was as follows:
 
Years Ended December 31,
 
2018
 
2017
 
2016
 
(Dollars in millions)
Amortization expense for intangible assets
$
581

 
671

 
767

Schedule of estimated amortization expense for intangible assets
We estimate that total amortization expense for intangible assets for the years ending December 31, 2019 through 2023 will be as follows:
 
(Dollars in millions)
Year ending December 31,
 
2019
$
517

2020
453

2021
143

2022
39

2023
27