Question

what are the possible steps involved in solving the equation shown? select three options.
$3.5 + 1.2(6.3 - 7x) = 9.38$

• add 3.5 and 1.2
• distribute 1.2 to 6.3 and $-7x$
• combine 6.3 and $-7x$
• combine 3.5 and 7.56
• subtract 11.06 from both sides

Explanation:

Step1: Identify first valid step

The equation has a term with parentheses, so distributing the coefficient outside is a standard first step.
Distribute 1.2 to 6.3 and $-7x$: $1.2\times6.3=7.56$, $1.2\times(-7x)=-8.4x$. The equation becomes $3.5 + 7.56 - 8.4x = 9.38$.

Step2: Identify second valid step

After distribution, combine the constant terms 3.5 and 7.56.
Combine 3.5 and 7.56: $3.5+7.56=11.06$. The equation becomes $11.06 - 8.4x = 9.38$.

Step3: Identify third valid step

Isolate the term with $x$ by subtracting the constant from both sides.
Subtract 11.06 from both sides: $11.06 - 11.06 - 8.4x = 9.38 - 11.06$, simplifying to $-8.4x = -1.68$.

Answer:

• Distribute 1.2 to 6.3 and $-7x$.
• Combine 3.5 and 7.56.
• Subtract 11.06 from both sides.