Here's a few thrash-oriented riffs combined with a bit of tremolo picking that sound similar to early Metallica or Megadeth -- of course with a modern twist. These are all played to programmed drums, EZDrummer, so to be in context.
Intro
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A--7------------7------------10-10-10-10-9-9-9-9-12-12-12-12-9-9-9-9-
E-----0--0-0-0-----0--0-0-0------------------------------------------
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pm
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A--7------------7------------6-6-7-7-9-9-10-10---------9-9-10-10--
E-----0--0-0-0-----0--0-0-0---------------------------------------
e----------------------------------11--12--14--12~~~~------
B----------------------10--12--13--------------------------
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D----------------------------------------------------12x/--
A----------------------------------------------------12x/--
E----------------------------------------------------12x/--
Section 1
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A--7------------7------------10-10-10-10-9-9-9-9-12-12-12-12-9-9-9-9--
E-----0--0-0-0-----0--0-0-0-------------------------------------------
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G----------------------------9-9-9-9-8-8-8-8-5-5-5-5-4-4-4-4b--
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pm
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A--7------------7------------6--------6-----3--------2-----------------------1--3--2--1-----3--2--1--2--
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Section 2
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D---------------------------------------------------------------------------------555588884444--
A------------2------------------------1------------------------2--------------------------------
E--3--1-1-1-----3--2--1--0--3--1-1-1-----3--2--1--0--3--1-1-1-----3--2--1--0--3333-------------- x2
Repeat Section 1
Section 3
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D--1---------------1-------1-----------------------------------1--
A--1---1-----------1-1-1-1-1---1-----3-------5-------6--5--2---1--
E--0---0-----------0-0-0-0-0---0--0--1---0---3---0---4--3--0---0-- x3