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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

Ta có :
\(\frac{7x+2}{5x+7}=\frac{7x-1}{5x+1}\)
\(=>\left(7x+2\right)\left(5x+1\right)=\left(7x-1\right)\left(5x+7\right)\)
\(=>35x^2+7x+10x+2=35x^2+49x-5x-7\)
\(=>35x^2+17x+2=35x^2+44x-7\)
\(=>17x+2=44x-7\)
\(=>44x-17x=2+7\)
\(=>27x=9\)
\(=>x=\frac{9}{27}=\frac{1}{3}\)

Bài 1:tính
a)65.(-19)+19.(-35)
=65.(-19)+(-19).35
=(-19).(65+35)
=(-19).100
=-1900
b)85.(35-27)-35.(85-27)
=85.35-85.27-35.85+35.27
=(85.35-35.85)+(-85.27+35.27)
=27.(-85+35)
=27.(-50)
=1350
c)47.(45-15)-47.(45+15)
=47.[(45-15)-(45+15)]
=47.[30-60]
=47.(-30)
=-1410
Bài2: Tìm các số nguyên x biết
a)(-2).(x+6)+6.(x-10)=8
-2x-12+6x-60=8
4x-72=8
4x=72+8
4x=50
x=\(\frac{25}{2}\)
b)(-4).(2x+9)-(-8x+3)-(x+13)=0
-6x-36+8x-3-x-13=0
x-41=0
x=41
Bài 1: Tính
a) \(65.\left(-19\right)+19.\left(-35\right)\)
= \(-1235+-665\)
= \(-1900\)
b) \(85.\left(35-27\right)-35.\left(85-27\right)\)
= \(-1350\)
c) \(47.\left(45-15\right)-47.\left(45+15\right)\)
=\(-1410\)
Bài 2: Tìm x:
\(\left(-2\right).\left(x+6\right)+6.\left(x-10\right)=8\)
\(x=20\)

a)
\(\Rightarrow\)X + 5 = 3 : 0,15% = 20
\(\Rightarrow\)X = 20 - 5 = 15
Vậy X = 15
b)
\(\Rightarrow\)\(\frac{7x}{21}\) - \(\frac{10}{21}\)= \(\frac{-3}{21}\)
\(\Rightarrow\) \(\frac{7x}{21}\)= \(\frac{-3}{21}\) + \(\frac{10}{21}\)= \(\frac{7}{21}\)
\(\Rightarrow\) 7x = 7
\(\Rightarrow\) x = 7 : 7 = 1
Vậy X = 1
c)
\(\Rightarrow\)X(1-25%) = \(\frac{1}{2}\)
\(\Rightarrow\)X x 75% = \(\frac{1}{2}\)
\(\Rightarrow\)X = \(\frac{1}{2}\): 75 % = \(\frac{2}{3}\)

\(\Leftrightarrow\dfrac{1}{x+1}-\dfrac{1}{x+2}+\dfrac{1}{x+2}-\dfrac{1}{x+3}+\dfrac{1}{x+3}-\dfrac{1}{x+4}=\dfrac{3}{10}\)
\(\Leftrightarrow\dfrac{x+4-x-1}{\left(x+4\right)\left(x+1\right)}=\dfrac{3}{10}\)
\(\Leftrightarrow\left(x+4\right)\left(x+1\right)=10\)
\(\Leftrightarrow x^2+5x-6=0\)
=>(x+6)(x-1)=0
=>x=-6 hoặc x=1

a/
<=> x - 3 + 5x = 5x + 6
<=> x + 5x - 5x = 6 + 3
<=> x = 9
b/
<=> 12 - x + 2 = 8
<=> -x = 8 - 12 - 2
<=> -x = -6
<=> x = 6
c/
<=> (x - 2/3)^2 = (5/4)^2
<=> x - 2/3 = 5/4
<=> x = 23/12 (tự quy đồng)
d/
<=> (3/4 - x)^3 = (-2)^3
<=> 3/4 - x = -2
<=> -x = -2 - 3/4
<=> -x = -11/4 (tự qđồng)