Question

10 if $f(x) = 7(x - 1) + 8$, what is the value of $f(x) = 50$?

Explanation:

Step1: Set up the equation

We know that \( f(x) = 7(x - 1)+8 \) and \( f(x)=50 \), so we set up the equation \( 7(x - 1)+8 = 50 \).

Step2: Simplify the left - hand side

First, expand \( 7(x - 1) \) using the distributive property \( a(b - c)=ab - ac \). Here, \( a = 7 \), \( b=x \), \( c = 1 \), so \( 7(x - 1)=7x-7 \). Then the equation becomes \( 7x-7 + 8=50 \). Combine like terms: \( -7+8 = 1 \), so the equation is \( 7x+1 = 50 \).

Step3: Solve for x

Subtract 1 from both sides of the equation: \( 7x+1-1=50 - 1 \), which simplifies to \( 7x=49 \). Then divide both sides by 7: \( \frac{7x}{7}=\frac{49}{7} \), so \( x = 7 \).

Answer:

\( x = 7 \)