To find the value of \( x \) based on the equations given:
- First equation: \( A = 2x \)
- Second equation: \( B = 2x + 10 \)
- Third equation: \( C = 1x + 8 \)
We can substitute for \( A \), \( B \), and \( C \) in terms of \( x \).
So we have:
- \( A = 2x \)
- \( B = 2x + 10 \)
- \( C = x + 8 \)
Let's assume that \( A + B + C = 180^\circ \) if we are dealing with a triangle (it wasn't specified in the problem). Then we can write the equation:
\[ A + B + C = 180 \] Substituting the values of \( A \), \( B \), and \( C \):
\[ 2x + (2x + 10) + (x + 8) = 180 \]
Now, let's simplify this equation:
\[ 2x + 2x + 10 + x + 8 = 180 \]
Combine like terms:
\[ (2x + 2x + x) + (10 + 8) = 180 \] \[ 5x + 18 = 180 \]
Next, isolate \( x \):
\[ 5x = 180 - 18 \] \[ 5x = 162 \]
Now, divide both sides by 5:
\[ x = \frac{162}{5} = 32.4 \]
Thus, the value of \( x \) is:
\[ \boxed{32.4} \]
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