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Estimate the value of x given this equation: 4x−189=578 .

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To solve the equation \( 4x - 189 = 578 \), we first isolate the term with \( x \).

  1. Add 189 to both sides of the equation:

\[ 4x - 189 + 189 = 578 + 189 \] \[ 4x = 767 \]

  1. Now, divide both sides by 4 to solve for \( x \):

\[ x = \frac{767}{4} \] \[ x = 191.75 \]

Thus, the estimated value of \( x \) is \( 191.75 \).