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Solve 0.3x + 0.4 = 0.28x + 1.16 find the valve of x with the help of transportation system?
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Solve 0.3x + 0.4 = 0.28x + 1.16 find the valve of x with the help of t...
To solve the equation \(0.3x + 0.4 = 0.28x + 1.16\) using the transportation system, we can rearrange and isolate \(x\).

Step 1: Rearranging the Equation
- Start with the original equation:
- \(0.3x + 0.4 = 0.28x + 1.16\)
- Move all terms involving \(x\) to one side and constant terms to the other:
- \(0.3x - 0.28x = 1.16 - 0.4\)

Step 2: Simplifying
- Combine like terms:
- \(0.02x = 0.76\)

Step 3: Solving for \(x\)
- Divide both sides by \(0.02\):
- \(x = \frac{0.76}{0.02}\)
- Calculate the value:
- \(x = 38\)

Conclusion
- The value of \(x\) is:
- **\(x = 38\)**
This solution can be validated by substituting \(x\) back into the original equation to confirm both sides equal. This methodical approach ensures clarity in solving linear equations, similar to analyzing flows in a transportation system where resources are balanced across routes.
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Solve 0.3x + 0.4 = 0.28x + 1.16 find the valve of x with the help of transportation system?
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