– StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction v.(6x – 3) = –
A table titled Fiona's Solution with 3 columns and 5 rows. The first row is, blank, Steps, Resulting equation. The second row has the entries, 1, Use the distributive property to simplify. StartFraction one-half minus 2 x plus 1 equals negative StartFraction 13 Over 2 EndFraction. The third row has the entries, 2, blank, StartFraction 3 Over 2 minus 2 x equals negative StartFraction 13 Over 2 EndFraction. The fourth row has the entries, 3, Isolate the variable expression by using the addition property of equality, negative 2 x equals negative 8. The fifth row has the entries, 4, Isolate the variable by using the division property of equality, x equals 4.
What is the missing step of her solution?
Simplify by combining like terms.
Simplify by using addition property of equality.
Simplify by using the multiplication property of equality.
Simplify by using the division property of equality.
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The missing step in Fiona's solution is:
Simplify by combining like terms.
This step logically fits between Step 1, where she uses the distributive property, and Step 3, where she isolates the variable expression. In the context of the equation she presented, combining like terms is necessary to simplify the equation further before isolating the variable.
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