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\frac{\left(4x^{2}+34x+7\right)x}{x}+\frac{40}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4x^{2}+34x+7 times \frac{x}{x}.
\frac{\left(4x^{2}+34x+7\right)x+40}{x}
Since \frac{\left(4x^{2}+34x+7\right)x}{x} and \frac{40}{x} have the same denominator, add them by adding their numerators.
\frac{4x^{3}+34x^{2}+7x+40}{x}
Do the multiplications in \left(4x^{2}+34x+7\right)x+40.