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What value of $x$ is a solution to this equation? $\newline$ $7x = 56$ $\newline$ Choices: $\newline$ (A) $x = 7$ $\newline$ (B) $x = 8$

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Which x satisfies an equation?

Full solution

Q. What value of

x

is a solution to this equation?

\newline

7x = 56

\newline

Choices:

\newline

(A)

x = 7

\newline

(B)

x = 8

Identify Operation: Identify the operation needed to isolate the variable $x$ . The equation is $7x = 56$ , which means $7$ times some number equals $56$ . To find the value of $x$ , we need to perform the inverse operation of multiplication, which is division.
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $x$ . To isolate $x$ , we divide both sides of the equation by $7$ . This gives us $x = \frac{56}{7}$ .
Perform Division: Perform the division to find the value of $x$ . $\newline$ Calculating $56$ divided by $7$ gives us $x = 8$ .
Check Solution: Check the solution by substituting $x$ back into the original equation. $\newline$ Substitute $x = 8$ into the original equation to check if the left side equals the right side: $7 \times 8 = 56$ . This simplifies to $56 = 56$ , which is true.

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