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\( x=7 \)
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To solve for \( x \) in the equation \( 36 = 2(x - 3) + 4x \), let's first distribute the 2 on the right side: \[ 36 = 2x - 6 + 4x \] Now, combine like terms: \[ 36 = 6x - 6 \] Next, add 6 to both sides to isolate the term with \( x \): \[ 36 + 6 = 6x \] \[ 42 = 6x \] Now, divide both sides by 6 to solve for \( x \): \[ x = \frac{42}{6} \] \[ x = 7 \] So, the solution is \( x = 7 \).