Answer :

To solve the equation [tex]\(0.50x + 0.15(50) = 35.5\)[/tex], let's break it down step-by-step:

1. Simplify the Equation: First, perform the multiplication in the equation. Calculate [tex]\(0.15 \times 50\)[/tex]:
[tex]\[
0.15 \times 50 = 7.5
\][/tex]
Now, substitute this value back into the equation, giving us:
[tex]\[
0.50x + 7.5 = 35.5
\][/tex]

2. Isolate the Term with [tex]\(x\)[/tex]: Next, subtract 7.5 from both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
0.50x = 35.5 - 7.5
\][/tex]
[tex]\[
0.50x = 28
\][/tex]

3. Solve for [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], divide both sides of the equation by 0.50:
[tex]\[
x = \frac{28}{0.50}
\][/tex]
[tex]\[
x = 56
\][/tex]

So, the solution to the equation [tex]\(0.50x + 0.15(50) = 35.5\)[/tex] is [tex]\(x = 56\)[/tex].

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