Answer:To simplify the expression −6(x+7)+9x, let's follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
First, let's simplify inside the parentheses by distributing the -6 to both terms inside:
-6(x+7) = -6x - 6(7)
Next, let's simplify the multiplication:
-6x - 6(7) = -6x - 42
Now, let's simplify the expression further by combining like terms. In this case, we have -6x and 9x:
-6x - 42 + 9x
To combine the x terms, we add the coefficients (-6 and 9):
(-6x + 9x) - 42
Simplifying further, we get:
3x - 42
Therefore, the simplified expression for −6(x+7)+9x is 3x - 42.
Explanation: