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\frac{7\times 500x}{7}+\frac{600\left(3000-5x\right)}{7}
To add or subtract expressions, expand them to make their denominators the same. Multiply 500x times \frac{7}{7}.
\frac{7\times 500x+600\left(3000-5x\right)}{7}
Since \frac{7\times 500x}{7} and \frac{600\left(3000-5x\right)}{7} have the same denominator, add them by adding their numerators.
\frac{3500x+1800000-3000x}{7}
Do the multiplications in 7\times 500x+600\left(3000-5x\right).
\frac{500x+1800000}{7}
Combine like terms in 3500x+1800000-3000x.
\frac{7\times 500x}{7}+\frac{600\left(3000-5x\right)}{7}
To add or subtract expressions, expand them to make their denominators the same. Multiply 500x times \frac{7}{7}.
\frac{7\times 500x+600\left(3000-5x\right)}{7}
Since \frac{7\times 500x}{7} and \frac{600\left(3000-5x\right)}{7} have the same denominator, add them by adding their numerators.
\frac{3500x+1800000-3000x}{7}
Do the multiplications in 7\times 500x+600\left(3000-5x\right).
\frac{500x+1800000}{7}
Combine like terms in 3500x+1800000-3000x.