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Let the number be x:

2(2x+4) = 3x+4

4x+8 = 3x+4

4x-3x = 4-8

x = -4

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Q: If 4 is added to twice a number and this sum is multiplied by 2 the result is the same as if the number is multiplied by 3 and 4 is added to the product What is the number?
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