To simplify the expression 2(7 - 3x) + 1/2(x - 4), we first distribute the 2 to both terms inside the parentheses and add the two terms together:
2(7 - 3x) = 14 - 6x
Now the expression becomes:
14 - 6x + 1/2(x) - 1/2(4)
We simplify further by distributing the 1/2 to both terms inside the parentheses:
14 - 6x + 1/2x - 2
Now we can combine like terms:
-6x + 1/2x = -5.5x
Therefore, the simplified expression is:
14 - 5.5x - 2 = 12 - 5.5x
To simplify the expression 2(7 - 3x) + 1/2(x - 4), we first distribute the 2 to both terms inside the parentheses and add the two terms together:
2(7 - 3x) = 14 - 6x
Now the expression becomes:
14 - 6x + 1/2(x) - 1/2(4)
We simplify further by distributing the 1/2 to both terms inside the parentheses:
14 - 6x + 1/2x - 2
Now we can combine like terms:
-6x + 1/2x = -5.5x
Therefore, the simplified expression is:
14 - 5.5x - 2 = 12 - 5.5x