Simplify the following expression 1/2(14x-2)-1/4(-4x-24)
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1 / 2 (14 x - 2 ) - 1 / 4 ( - 4 x - 24 ) =
14 x / 2 - 2 / 2 - ( - 4 x / 4 ) - ( - 24 / 4 ) =
14 x / 2 - 2 / 2 + ( 4 x / 4 ) + ( 24 / 4 ) =
7 x - 1 + x + 6 =
8 x + 5
To simplify the given expression 1/2(14x - 2) - 1/4(-4x - 24), follow these steps:
Step 1: Distribute the coefficients to the terms inside the parentheses.
For the first parentheses, multiply 1/2 by both terms:
1/2 * 14x = 14/2 * x = 7x
1/2 * -2 = -2/2 = -1
For the second parentheses, multiply 1/4 by both terms:
1/4 * -4x = -4/4 * x = -x
1/4 * -24 = -24/4 = -6
Now the expression becomes:
7x - 1 - (-x) - (-6)
Step 2: Simplify by combining like terms.
7x - 1 + x + 6
Combine the x terms:
7x + x = 8x
Combine the constant terms:
-1 + 6 = 5
Therefore, the simplified expression is:
8x + 5