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Vì (x - 7)35 = (x - 7)25 => (x - 7)35 = (x - 7)25 = 0 hoặc 1
Nếu (x - 7)35 = 0 => x = 0 + 7 = 7
Nếu (x - 7)35 = 1 => x = 1 + 7 = 8
a: =>5-x=-23
=>x=5+23=28
b: =>x-3-x+7-25+x=54
=>x-21=54
=>x=75
c: =>7-9x-2x+4=-5x-35+27-25=-5x-37
=>-11x+3=-5x-37
=>-6x=-40
=>x=20/3
a.
10-x-5 = (-5) - 7 -11
=>5-x = 0
=>x=5
b
(x-3) - (x+17-24) - (25-x) = 24 - (-30)
=>x - 3 - x - 17 + 24 - 25 - x = 24 + 30
=>-x - 21 = 54
=>-x = 75
=>x = -75
c
(7 - 9x) - (2x - 4) = - (5x + 35) - (-27) - 25
=>7-9x - 2x + 4 = -5x - 35 + 27 - 35
=>11 - 11x + 5x = -43
=>16x = 11 + 43
=>16x = 54
=>x=4
a: 9-25=7-x-(25+7)
=>7-x-25-7=-16
=>-x-25=-16
=>x+25=16
hay x=-9
b: \(10+2\left|x\right|=2\cdot\left(3^2-1\right)\)
\(\Leftrightarrow2\left|x\right|=2\cdot8-10=6\)
=>x=3 hoặc x=-3
c: -6x=18
nên x=18:(-6)=-3
21-(25-X+23)= -(35-7)
21-25+X-23= -28
(-4)+X-23 = -28
(-4)+X=-28+23
(-4)+X=-5
X=(-5)-(-4)
X= -1
a,21-(25-X+23)=-(35-7)\(\Rightarrow21-\left(48-\chi\right)=-28\)
\(\Rightarrow48-\chi=21+28\)
\(\Rightarrow48-\chi=49\Rightarrow\chi=-1\)
HTDT
140 : ( x - 8 ) = 7
x - 8 = 140 : 7 = 20
x = 20 + 8
x = 28
* 140 : (X-8)=7
X-8=140:7
X-8=20
x=20+8
x=28
Vậy X =28
* 4(X+41)=400
X+41=400:4
X+41=100
X=100-41
X=59
Vậy x=59
*135-5(X+4)135
5(X+4)=135-35
5(X+4)=100
X+4=100:5
X+4=20
X=20-4
X=16
Vậy X = 16
b. -6x=18
=> x = 18 : (-6)
=> x = -3
c. 35-3.|x|=5.(23-4)
=> 35-3.|x|=5.(8-4)
=> 35-3.|x|=5.4
=> 35-3.|x|=20
=> 3.|x|=35-20
=> 3.|x|=15
=> |x|=5
=> x \(\in\){-5; 5}
d. => 10+2.|x|=2.(9-1)
=> 10+2.|x|=2.8
=> 10+2.|x|=16
=> 2.|x|=16-10
=> 2.|x|=6
=> |x|=3
=> x \(\in\){-3; 3}
\(\left(x-7\right)^{35}=\left(x-7\right)^{25}\)
\(\Leftrightarrow\left(x-7\right)^{35}-\left(x-7\right)^{25}=0\)
\(\Leftrightarrow\left(x-7\right)^{25}\left(\left(x-7\right)^{10}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-7\right)^{25}=0\\\left(x-7\right)^{10}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-7=0\\\left[{}\begin{matrix}x-7=1\\x-7=-1\end{matrix}\right.\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=7\\x=8\\x=6\end{matrix}\right.\)