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After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?

Sagot :

The value of b that Lois give Clark will be -7

  • Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.

  • First, we need to find the value of b from the expression.

Rearrange;

2x + 7 - x = 4x + 2b – 3x - 3b.

x + 7 = x + 2b - 3b

2b - 3b = 7

-b = 7

b = -7

Substitute b = -7 into the expression and find the value of x;

2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)

x + 7 = 4x - 3x - 14 + 21

x + 7 = x + 7

Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;

x + 7 = x + 3x + 7

x + 7 = 4x + 7

x - 4x = 0

-3x = 0

x = 0

Hence the value of b that Lois give Clark will be -7

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