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4 problems match “distributive property”. Clear

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  1. Linear equation with brackets ●○○○○ 10 ptsSolve 7x−(3x+5)−8=12(8x+20)−7x+57x-(3x+5)-8=\frac{1}{2}(8x+20)-7x+5 for xx.
  2. Solve a parenthesised two-step equation ●○○○○ 10 ptsSolve 6(x+4)=126(x + 4) = 12.
  3. Sum of fractions with shared denominators ●●○○○ 20 ptsFind the value of (12+13+⋯+120)+(23+⋯+220)+⋯+(1819+1820)+1920\left(\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{20}\right)+\left(\frac{2}{3}+\cdots+\frac{2}{20}\right)+\cdots+\left(\frac{18}{19}+\frac{18}{20}\right)+\frac{19}{20}.
  4. Solving a quadratic with exponents ●●○○○ 20 ptsSolve 4(3−x)+92=x(x−4)+72−54(3 - x) + 9^2 = x(x - 4) + 7^2 - 5 for the positive value of xx.