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What are the possible steps involved in solving the equation shown? Select three options.

[tex]\[ 3.5 + 1.2(6.3 - 7x) = 9.38 \][/tex]

A. Add 3.5 and 1.2.
B. Distribute 1.2 to 6.3 and [tex]\(-7x\)[/tex].
C. Combine 6.3 and [tex]\(-7x\)[/tex].
D. Combine 3.5 and 7.56.
E. Subtract 11.06 from both sides.

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(3.5 + 1.2(6.3 - 7x) = 9.38\)[/tex], we can break down the process into several possible steps. Let's consider the steps involved in getting closer to the solution:

1. Distribute 1.2 to 6.3 and [tex]\(-7x\)[/tex]:
[tex]\[ 3.5 + 1.2 \cdot 6.3 - 1.2 \cdot 7x = 9.38 \][/tex]
This simplifies to:
[tex]\[ 3.5 + 7.56 - 8.4x = 9.38 \][/tex]

2. Combine 3.5 and 7.56:
[tex]\[ 3.5 + 7.56 = 11.06 \][/tex]
So the equation becomes:
[tex]\[ 11.06 - 8.4x = 9.38 \][/tex]

3. Subtract 11.06 from both sides:
[tex]\[ 11.06 - 8.4x - 11.06 = 9.38 - 11.06 \][/tex]
Simplifies to:
[tex]\[ -8.4x = -1.68 \][/tex]

Each of these steps gets us closer to isolating [tex]\(x\)[/tex]. Therefore, the possible steps involved in solving the given equation are:

- Distribute 1.2 to 6.3 and [tex]\(-7x\)[/tex].
- Combine 3.5 and 7.56.
- Subtract 11.06 from both sides.
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