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Chapter 2: Q 12 (page 111)

In the following exercises, solve each linear equation.-211-7x+54=4

Short Answer

Expert verified

The answer isx=-2.

Step by step solution

01

Step 1. Given information

The equation is -211-7x+54=4

Find the value of x and check.

02

Step 2. Calculation

Simplify the equation by distribution-211-7x+54=4

role="math" localid="1644371180678" -22+14x+54=4

Combine like terms

role="math" localid="1644371248211" 14x=4-3214x=-28

Divide by 14 on both sides

x=-2

03

Step 3. Check

Substitute x=-2in the equationrole="math" localid="1644371355661" -211-7x+54=4

-211-7-2+54=4-211+14+54=4-50+54=44=4

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