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Distribute to create an equivalent expression with the fewest symbols possible.

3(7x+1)=

Distribute to create an equivalent expression with the fewest symbols possible.\newline3(7x+1)= 3(7 x+1)=

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.\newline3(7x+1)= 3(7 x+1)=
  1. Apply distributive property: Apply the distributive property to the expression 3(7x+1)3(7x+1).\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. Therefore, we need to multiply each term inside the parentheses by 33.\newline3(7x+1)=3×7x+3×13(7x+1) = 3 \times 7x + 3 \times 1
  2. Perform multiplication: Perform the multiplication for each term.\newline3×7x=21x3 \times 7x = 21x\newline3×1=33 \times 1 = 3\newlineSo, the expression becomes 21x+321x + 3.
  3. Write simplified expression: Combine the results to write the simplified expression.\newlineThe simplified expression is 21x+321x + 3.

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