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what is the value of x, x*-2+7=x-7*5

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:

  1. Simplify both sides of the equation:
    • Left side: $x \cdot -2 + 7$ simplifies to $-2x + 7$
    • Right side: $x - 7 \cdot 5$ simplifies to $x - 35$

So the equation becomes:
$$-2x + 7 = x - 35$$

  1. Move all terms with $x$ to one side and constants to the other side:

    • Add $2x$ to both sides:
      $$-2x + 7 + 2x = x - 35 + 2x$$
      $$7 = 3x - 35$$
    • Add $35$ to both sides:
      $$7 + 35 = 3x - 35 + 35$$
      $$42 = 3x$$
  2. 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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