Etymology
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hold-out (n.)
also holdout, one who abstains or refrains when others do not, by 1911, from verbal expression hold out, which is attested from 1907 in the sense "keep back, detain, withhold" (see hold (v.) + out (adv.)). Earlier as the name of a card-sharper's device (1893). The verbal phrase is attested from 1520s as "stretch forth," 1580s as "resist pressure."
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hand-out (n.)
also handout, hand out, 1882, "alms or food given to a beggar," hobo slang, from the verbal phrase; see hand (v.) + out (adv.). Meaning "distributed printed informational matter" is from 1927.
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drop-out (n.)

also dropout, "one who 'drops out' of something" (a course of education, life, etc.), 1930, from the verbal phrase drop out "withdraw or disappear from place" (1550s); see drop (v.) + out (adv.). 

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blow-out (n.)
also blowout, 1825, American English colloquial, "outburst, brouhaha" (what in modern vernacular would be called a blow-up), from the verbal phrase, in reference to pressure in a steam engine, etc., from blow (v.1) + out (adv.). Meaning "abundant feast" is recorded from 1824; that of "a bursting of an automobile tire" is from 1908.
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burn-out (n.)
also burnout, "drug user," by 1972, slang, from the verbal phrase, which is attested from 1590s in the sense "burn until fuel is exhausted;" see burn (v.) + out (adv.). The immediate source is perhaps the use of the phrase in reference to electrical circuits, "fuse or cease to function from overload" (1931). Also compare burnt out "extinct after entire consumption of fuel" (1837). Meaning "mental exhaustion from continuous effort" is from 1975.
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get-out (n.)
also getout, figuratively indicating a high degree of something, by 1838, colloquial, from get (v.) + out (adv.). Verbal phrase get out as a command to go away is from 1711, but sense connection is not clear.
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carry-out (adj.)
of food and drink, "prepared to be consumed away from the place of sale," 1935, American English, from the verbal phrase, from carry (v.) + out (adv.). Compare takeaway, takeout, which have the same sense.
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cut-out (n.)

also cutout, 1851, in reference to a kind of switch on a circuit to cut out an instrument, from the verbal phrase, from cut (v.) + out (adv.). The verbal phrase is attested from c. 1400 as "cut so as to take out;" from 1550s as "fashion or shape by cutting;" from 1736 as "remove, excise, omit." From 1640s as "be naturally formed or fashioned" (for some specified purpose).

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inside-out (adj.)

"with the in side being out," c. 1600, from inside (n.) + out (prep.). Reverse in form but identical in sense outside-in is attested by 1771.

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out-thrust (adj.)

"to extend or project outward," 1820, from out- + thrust (v.). Related: Out-thrusting.

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