The simplified form of the given expression is x+3.
The given expression is 1/2 (3/5x - 8) + 7/4 ( 2/5x + 4)
We need to simplify the expression by distributing and combining like terms.
What is the distributive property?
The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself signifies that the operation includes dividing or distributing something. The distributive law is applicable to addition and subtraction.
Now, using the distributive property
1/2 (3/5x - 8) + 7/4 ( 2/5 x + 4)=1/2 × 3/5 x-1/2 ×8+7/4 × 2/5 x + 7/4 × 4
=3/10 x - 4 + 14/20 x +7
=3/10 x + 7/10 x + 3
=10/10 x + 3
=x+3
Therefore, the simplified form of the given expression is x+3.
To learn more about the distributive property visit:
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