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To find the value of $x$ in the equation $x \cdot -2 + 7 = x - 7 \cdot 5$, we need to simplify and solve for $x$. Here's how we can do it step by step:
So the equation becomes:
$$-2x + 7 = x - 35$$
Move all terms with $x$ to one side and constants to the other side:
Solve for $x$ by dividing both sides by 3:
$$\frac{42}{3} = \frac{3x}{3}$$
$$14 = x$$
So, the value of $x$ is 14.
Final Answer:
$$x = 14$$
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