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Goodwill, Customer Relationships and Other Intangible Assets (Tables)
6 Months Ended
Jun. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of acquisition-related intangible assets
Goodwill, customer relationships and other intangible assets consisted of the following:
June 30, 2020December 31, 2019
(Dollars in millions)
Goodwill$7,355  7,415  
Other intangible assets subject to amortization:
Customer relationships, less accumulated amortization of $1,878 and $1,538
$6,484  6,865  
Capitalized software, less accumulated amortization of $204 and $146
413  395  
Trade names, less accumulated amortization of $70 and $57
61  74  
Total other intangible assets, net$6,958  7,334  
Schedule of goodwill
The following table shows the rollforward of goodwill from December 31, 2019 through June 30, 2020:
(Dollars in millions)
As of December 31, 2019
$7,415  
Effect of foreign currency exchange rate changes and other(60) 
As of June 30, 2020$7,355  
Schedule of estimated amortization expense of finite-lived acquisition-related intangible assets
We estimate that total amortization expense for intangible assets for the years ending December 31, 2020 through 2024 will be as follows:
(Dollars in millions)
2020 (remaining six months)$420  
2021837  
2022776  
2023749  
2024737