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2023 MIG
2
2023 Individual #2
2023 Individual #2
Source:
April 26, 2023
2023 Individual
Problem Statement
What is the sum of all
x
x
x
that satisfy
∣
2
x
−
4
∣
=
2
|2x-4| = 2
∣2
x
−
4∣
=
2
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
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′
>
(
A
)
<
/
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a
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>
1
<
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a
s
s
=
′
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a
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x
−
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>
(
B
)
<
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>
2
<
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a
s
s
=
′
l
a
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e
x
−
b
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>
(
C
)
<
/
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a
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>
3
<
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c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
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′
>
(
D
)
<
/
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>
4
<
s
p
a
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c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
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′
>
(
E
)
<
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5
<span class='latex-bold'>(A) </span> 1\qquad<span class='latex-bold'>(B) </span> 2\qquad<span class='latex-bold'>(C) </span> 3\qquad<span class='latex-bold'>(D) </span> 4\qquad<span class='latex-bold'>(E) </span> 5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
1
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
3
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
5
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