Problem

$4-\frac{5}{2}\left(\frac{1}{10} x\right)=1$

Answer

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Answer

\(\boxed{12}\)

Steps

Step 1 ：Simplify the equation by distributing the $-\frac{5}{2}$ to the $\frac{1}{10}x$ term: $4 - \frac{5}{2} \cdot \frac{1}{10}x = 4 - \frac{1}{4}x$

Step 2 ：Isolate the x term by moving all other terms to the other side of the equation: $\frac{1}{4}x = 4 - 1$

Step 3 ：Solve for x: $\frac{1}{4}x = 3$

Step 4 ：Multiply both sides by 4 to get the final answer: $x = 3 \cdot 4$

Step 5 ：\(\boxed{12}\)

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