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Câu 1 : 65.(-19)+19.(-24)= (-65).19+19.(-24)=19.[(-65)+(-24)]=19.(-89)=-1691
Câu 2:a) 7x.(2+x)-7x(x+3)=14
=>7x.(2+x-x-3)=14
=>7x.(-1)=14
=>(-7).x=14
=>x=14:(-7)
=>x=-2
Vậy x=-2

a) 2|x| + 34 = 50
-> 2|x| = 16
-> x = 8 hoặc x = -8.
b) 3|x|−21=36
-> 3|x| = 57
-> x = 19 hoặc x = -19.
c) 19−5|x|+3=19
-> 19 - 5|x| = 16
-> 3 = 5|x|
-> x = 0,6 hoặc x = -0,6.

3x+42=196:(193.192)-2.12014
3x+42=196:196-2.1
3x+42=1-2
3x+42= -1
3x+16= -1
3x = -1+16
3x=15
mình ra đc tới đây rồi bạn tự làm nhé
\(3^{x} + 4^{2} = 19^{6} : (19^{3}. 19^{2}) – 2.1^{2014}\)
\(3^x+4^2=19^6:19^5-2.1\)
\(3^x+16=19-2\)
\(3^x+16=17\)
\(3^x=1\)
\(x=0\)
Vậy x = 0.

\(-\frac{5}{6}x-1\frac{13}{19}:3\frac{7}{19}-\left(-0,12\right)=\left(-\frac{1}{2}\right)^2\)
\(\Rightarrow-\frac{5}{6}x-\frac{32}{19}:\frac{64}{19}+0,12=\frac{1}{4}\)
\(\Rightarrow-\frac{5}{6}x-\frac{1}{2}=\frac{1}{4}-0,12=\frac{13}{100}\)
\(\Rightarrow-\frac{5}{6}x=\frac{63}{100}\)
\(\Rightarrow x=-\frac{189}{250}\)
-5/6x-32/19:64/19+3/25=1/4
-5/6x-32/19×19/64+3/25=1/4
-5/6x-1/2+3/25=1/4
-5/6x-31/50=1/4
-5/6x=1/4+31/50
-5/6x=87/100
x=87/100:-5/6
x=87/100×-6/5
x=-261/250
vậy x=-261/250

\(\left(x+3\right):8+\left(\frac{1}{11}-\frac{1}{29}\right).319=19\)
\(\left(x+3\right):8+\frac{18}{319}.319=19\)
\(\left(x+3\right):8+18=19\)
\(\left(x+3\right):8=1\)
\(x+3=\frac{1}{8}\)
\(x=\frac{-23}{8}\)
Vậy \(x=\frac{-23}{8}\)

\(\frac{x+1}{19}+\frac{x+2}{18}=\frac{x+3}{17}+\frac{x+4}{16}\)
\(\Rightarrow\left(\frac{x+1}{19}+1\right)+\left(\frac{x+2}{18}+1\right)=\left(\frac{x+3}{17}+1\right)+\left(\frac{x+4}{16}+1\right)\)
\(\Rightarrow\frac{x+20}{19}+\frac{x+20}{18}=\frac{x+20}{17}+\frac{x+20}{16}\)
\(\Rightarrow\frac{x+20}{19}+\frac{x+20}{18}-\frac{x+20}{17}-\frac{x+20}{16}=0\)
\(\Rightarrow\left(x+20\right).\left(\frac{1}{19}+\frac{1}{18}-\frac{1}{17}-\frac{1}{16}\right)=0\)
Vì : \(\frac{1}{19}+\frac{1}{18}-\frac{1}{17}-\frac{1}{16}\ne0\)nên \(x+20=0\)
Suy ra : \(x=0-20=-20\)
Vậy \(x=-20\)
\(\dfrac{x}{3}=19:2+3\cdot8\)
=>\(\dfrac{x}{3}=\dfrac{19}{2}+24=\dfrac{19}{2}+\dfrac{48}{2}=\dfrac{67}{2}\)
=>\(x=\dfrac{67}{2}\cdot3=\dfrac{201}{2}\)
\(\frac{x}{3}=19:2+3.8\)
\(\frac{x}{3}=\frac{19}{2}+24\)
\(\frac{x}{3}=\frac{67}{2}\)
\(x=\frac{67}{2}.3\)
\(x=\frac{201}{2}\)