Answer:
1. 0.6(-7x+9) simplifies to -4.2x + 5.4
2. 4(x-3)-(-8+8.2)x simplifies to 3.8x - 12
Explanation:
To simplify the expressions 0.6(-7x+9) and 4(x-3)-(-8+8.2)x, let's break them down step by step:
Expression 1: 0.6(-7x+9)
To simplify this expression, we can distribute the 0.6 to each term inside the parentheses. This means we multiply 0.6 by -7x and 0.6 by 9:
0.6(-7x+9) = 0.6 * -7x + 0.6 * 9
Simplifying further:
= -4.2x + 5.4
Expression 2: 4(x-3)-(-8+8.2)x
In this expression, we first need to simplify the parentheses. Starting with (-8+8.2), we can combine the numbers:
(-8+8.2) = -8 + 8.2 = 0.2
Now, let's distribute the 4 to each term inside the parentheses:
4(x-3) - 0.2x
Distributing the 4:
= 4 * x - 4 * 3 - 0.2x
Simplifying further:
= 4x - 12 - 0.2x
Combining like terms:
= 3.8x - 12
So, the simplified expressions are:
1. 0.6(-7x+9) simplifies to -4.2x + 5.4
2. 4(x-3)-(-8+8.2)x simplifies to 3.8x - 12