SIFT Math Practice Test

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Solve for x: 6⋅x + 6 = 4⋅x - 6.

2.57

--6.0

To solve the equation \( 6x + 6 = 4x - 6 \), we can start by isolating the variable \( x \). The first step is to move all terms involving \( x \) to one side and the constant terms to the other side.

Subtract \( 4x \) from both sides of the equation:

\[

6x - 4x + 6 = -6

\]

This simplifies to:

\[

2x + 6 = -6

\]

Next, we want to isolate \( 2x \) by subtracting 6 from both sides:

\[

2x = -6 - 6

\]

This simplifies to:

\[

2x = -12

\]

Now, divide both sides by 2 to solve for \( x \):

\[

x = \frac{-12}{2} = -6

\]

Thus, the solution for \( x \) is -6. This corresponds to the choice of -6.0, which is in its simplest form and represents the value that satisfies the original equation when substituted back.

Reviewing the original equation with this value of \( x \):

Upon substitution:

\[

6(-

--5.44

--4.13

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