Pre-Algebra Examples

$6 (7 x - 1) = 43 x$

Step 1

Simplify $6 (7 x - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 6 (7 x - 1) = 43 x$

Step 1.2

Simplify by adding zeros.

$6 (7 x - 1) = 43 x$

Step 1.3

Apply the distributive property.

$6 (7 x) + 6 \cdot - 1 = 43 x$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $7$ by $6$ .

$42 x + 6 \cdot - 1 = 43 x$

Step 1.4.2

Multiply $6$ by $- 1$ .

$42 x - 6 = 43 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Subtract $43 x$ from both sides of the equation.

$42 x - 6 - 43 x = 0$

Step 2.2

Subtract $43 x$ from $42 x$ .

$- x - 6 = 0$

Step 3

Add $6$ to both sides of the equation.

$- x = 6$

Step 4

Divide each term in $- x = 6$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- x = 6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{6}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{6}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{6}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $6$ by $- 1$ .

$x = - 6$