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Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11x–12+13=
–
10
11x+1=
–
10
Add 12 to both sides
Subtract 12 from both sides
Multiply both sides by 12
Divide both sides by 12
Combine like terms
11x=
Subtract 1 from both sides
x=
Divide both sides by 11

1 answer

Let's solve the equations step by step and fill in the missing terms and descriptions.

For the first equation:

Starting equation:

\[ 11x - 12 + 13 = -10 \]

  1. Combine like terms on the left:

    \[ 11x + 1 = -10 \]

    (Description: Combine like terms)

Next step:

  1. Subtract 1 from both sides:

    \[ 11x = -11 \]

    (Description: Subtract 1 from both sides)

Next step:

  1. Divide both sides by 11:

    \[ x = -1 \]

    (Description: Divide both sides by 11)

Summary for the first equation:

  • Missing Terms:

    • After combining like terms: \( 11x + 1 \)
    • After subtracting 1: \( 11x = -11 \)
    • After dividing: \( x = -1 \)

  • Missing Descriptions:

    • Combine like terms
    • Subtract 1 from both sides
    • Divide both sides by 11

Hence, we have completed the steps and identified all missing terms and descriptions for the equation.