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Which expression is equivalent to the expression below?

7(4x+8)-7x

7(4x+8-7x)

35 x+8

18 x+15

21 x+56

Which expression is equivalent to the expression below?\newline7(4x+8)7x 7(4 x+8)-7 x \newline7(4x+87x) 7(4 x+8-7 x) \newline35x+8 35 x+8 \newline18x+15 18 x+15 \newline21x+56 21 x+56

Full solution

Q. Which expression is equivalent to the expression below?\newline7(4x+8)7x 7(4 x+8)-7 x \newline7(4x+87x) 7(4 x+8-7 x) \newline35x+8 35 x+8 \newline18x+15 18 x+15 \newline21x+56 21 x+56
  1. Distribute and Multiply: First, distribute the 77 into the parentheses.7(4x+8)=7×4x+7×87(4x+8) = 7\times 4x + 7\times 8=28x+56= 28x + 56
  2. Subtract and Combine Terms: Now, subtract 7x7x from the result of the distribution.\newline28x+567x28x + 56 - 7x\newlineCombine like terms (28x28x and 7x-7x).\newline(287)x+56(28 - 7)x + 56\newline=21x+56= 21x + 56
  3. Check for Accuracy: Check the original expression and the final simplified expression to ensure that no steps have been missed and that all operations have been performed correctly.\newlineOriginal expression: 7(4x+8)7x7(4x+8)-7x\newlineFinal simplified expression: 21x+5621x + 56\newlineNo steps have been missed, and all operations are correct.

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