Can you provide assistance in simplifying the algebraic expression 3x - 4(x - 7)?
Yes, I can help you simplify the algebraic expression 3x - 4(x - 7).
To simplify this expression, we need to apply the distributive property. The distributive property states that when you multiply a number outside of parentheses by a sum or difference inside the parentheses, you distribute the number to each term inside the parentheses.
In this case, we have 3x - 4(x - 7). To distribute the -4 to each term inside the parentheses, we can multiply it by both x and -7:
3x - 4 * x - 4 * -7
Multiplying -4 by x gives -4x, and multiplying -4 by -7 gives +28, so the expression becomes:
3x - 4x + 28.
Next, we can combine like terms by combining the x terms:
(3x - 4x) + 28
This gives us:
- x + 28
So, the simplified form of the expression 3x - 4(x - 7) is -x + 28.