To solve the equation \(9x - 7x - 4x = 0\), we can first combine like terms on the left side.
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Combine the \(x\) terms: \[ 9x - 7x - 4x = (9 - 7 - 4)x = -2x \] So, the equation simplifies to: \[ -2x = 0 \]
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Divide both sides by -2: \[ x = \frac{0}{-2} = 0 \]
Now we have found the solution: \[ x = 0 \]
Check the solution:
Substituting \(x = 0\) back into the original equation:
\[ 9(0) - 7(0) - 4(0) = 0 \]
This simplifies to:
\[ 0 - 0 - 0 = 0 \]
Since the left side equals the right side (which is 0), the solution \(x = 0\) checks out.
Therefore, the final solution is: \[ \boxed{0} \]