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\(16=2^4\)
\(25=5^2\)
\(30=2\cdot3\cdot5\)
=>\(BCNN\left(16;25;30\right)=2^4\cdot5^2\cdot3=16\cdot25\cdot3=16\cdot75=1200\)
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a, 117 - \(x\) = 28 - (-7)
117 - \(x\) = 28 + 7
117 - \(x\) = 35
\(x\) = 117 - 35
\(x\) = 82
b, \(x\) - (-38 - 2\(x\)) = (-3) - 8 + 2\(x\)
\(x\) + 38 + 2\(x\) = - 11 + 2\(x\)
3\(x\) + 38 = - 11 + 2\(x\)
3\(x\) - 2\(x\) = - 11 - 38
\(x\) = - 49
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2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40
= 2. 53 . 9 . 3 + 2. 3 .9 .87 - 3 .2 .9 .40
= 54.53+54.87-54.40
=54(53+87-40)
=54. 100=5400
12 . 25 + 29 . 25 + 59 . 25
= 25 . ( 12+29+59)
=25 . 90
=2250
43 . 37 + 93 . 43 + 57 . 61 + 69 . 57
= 43.(37+93)+57(61+69)
=43.130+57.130
=130.(43+57)
=130.100
=13 000
12 . 53 + 53 . 172 - 53
=53(12+172-1)
=53.184
=9752
35 . 54 + 35 . 58 + 65 . 75 + 65 . 45
=35(54+58)+65(75+45)
=35.112+65.120
=3920+7800
=11720
39 . 8 + 70 . 3 + 31 . 8
=8(39+31)+70.3
=8.70+70.3
=70.(8+3)
=70.11
=770
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a: =>x+38+2x=-3-8+2x
=>3x+38=2x-11
=>x=-49
b: \(\Leftrightarrow65+x-15-5x=12-5x\)
=>-4x+50=-5x+12
=>x=-38
c: \(\Leftrightarrow3x+12-7x+21=-3-5x-2=-5x-5\)
=>-4x+33=-5x-5
=>x=-38
d: \(\Leftrightarrow-123+2x+23=x-120\)
=>2x-100=x-120
=>x=-20
e: =>-45+25+5x=16-x
=>5x-20=-x+16
=>6x=36
=>x=6
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a) \(65.16=1040\)
\(\rightarrow\left(-65\right).16=65.\left(-16\right)=-1040\)
\(\left(-65\right).\left(-16\right)=1040\)
\(\Rightarrow65.16=\left(-65\right).\left(-16\right)=1040\)
b) \(25.\left(-27\right)=-675\)
\(\rightarrow\left(-25\right).\left(-17\right)=25.17=675\)
\(\left(-25\right).17=-675\)
\(\Rightarrow25.\left(-17\right)=\left(-25\right).17=-675\)
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1. Thực hiện phép tính bằng cách hợp lí :
a) (-46) + (-125) + 46 + 25 = [(-46)+46] + [(-125)+25]
= 0+(-100) = -100
b) 25.(-15) + 25.(-5) + (-20).75 = 25.[(-15)+(-5)] + (-20).75
= 25.(-20) + (-20).75 = (-20).(25+75) = (-20).100 = -2000
c) (-151)+(-37)+(-42)+(-63)+142 =(-151)+[(-37)+(-63)]+[(-42)+142]
= (-151) + [(-100) + 100] = -151
d)32+(-149)+(-311)+(-89)+(-51) = 32+[(-149)+(-51)] + [(-311)+(-89)]
= 32+[(-200)+(-400)] = 32+(-600) = -568
e)-65.(87-17)-87.(17-65) = (-65).87 - (-65).17 - 87.17 + 87.65
= (-65).87 + 65.17 - 87.17 + 87.65 = [(-65).87+87.65] + 65.(17-87)
= 65.(-70) = -4550
g) -43.(53-16) - 53.(16-43) = (-43).53 - (-43).16 - 53.16 + 53.43
= (-43).53 + 43.16 - 53.16 + 53.43 = [(-43).53+53.43] + 16.(43-53)
= 16.(-10) = -160
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\(25-\left(25-x\right)=12+\left(42-65\right).\)
\(\Leftrightarrow25-25+x=12-23.\)
\(\Leftrightarrow x=-11.\)
Vậy \(x=-11.\)
25 - ( 25 - x ) = 12 + ( 42 - 65 )
25 - ( 25 - x ) = 12 + (-23)
25 - ( 25 - x ) = -11
25 - x = 25 - (-11)
25 - x = 36
x = 25 - 36
x = -11
![](https://rs.olm.vn/images/avt/0.png?1311)
25 - (25 - x) = 12 + (42 - 65)
25 - 25 + x = 12 + (-23)
x = - 11
\(25-\left(25-x\right)=12+\left(42-65\right).\)
\(\Leftrightarrow25-25+x=12-23.\)
\(\Leftrightarrow x=-11.\)
Vậy \(x=-11.\)