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Verified answer
1. a. 2(x-6)+3x=2(x+6)2x-12+3x = 2x+12
5x -12 = 2x+12
5x-2x = 12 +12
3x = 24 => x = 8
b. 2c-5(c-1)=7-2c
2c-5c+5 = 7-2c
-3c+5 = 7-2c
-3c + 2c = 7-5
-c = 2 => c = -2
2. 3(x+1)+2>2(x+1)+1
3x+3+2 > 2x+2+1
3x+5 > 2x+3
3x-2x > 3-5
x > -2
3. a. |10|-|-4| = 10-(-4) = 10+4 = 14
b. |10×2|-|-10| = 20-(-10) = 20+10 = 30
4. |15-y|=-6
15-y = -6
15+6 = y
21 = y
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