Distribute Negative Sign: First, we need to distribute the negative sign across the parentheses. Calculation: -(7 - 4x) = -7 + 4xAddition to Isolate x: Now we have the equation -7 + 4x = 9. Next, we add 7 to both sides to isolate the term with the variable x. Calculation: -7 + 4x + 7 = 9 + 7Simplify and Divide: Simplifying both sides of the equation gives us 4x = 16. Now, we divide both sides by 4 to solve for x. Calculation: 4x / 4 = 16 / 4Final Solution: After dividing, we find that x = 4. This is the solution to the equation.

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$-(7-4 x)=9$ $\newline$ $x=$

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-(7-4 x)=9

\newline

x=

Distribute Negative Sign: First, we need to distribute the negative sign across the parentheses. $\newline$ Calculation: $- (7 - 4x) = -7 + 4x$
Addition to Isolate x: Now we have the equation $-7 + 4x = 9$ . $\newline$ Next, we add $7$ to both sides to isolate the term with the variable $x$ . $\newline$ Calculation: $-7 + 4x + 7 = 9 + 7$
Simplify and Divide: Simplifying both sides of the equation gives us $4x = 16$ . Now, we divide both sides by $4$ to solve for $x$ . Calculation: $\frac{4x}{4} = \frac{16}{4}$
Final Solution: After dividing, we find that $x = 4$ . $\newline$ This is the solution to the equation.