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10 February, 05:45

Fill in the missing work and justification for step 3 when solving 2 (x + 1) = 10. Step Work Justification 1 2 (x + 1) = 10 Given 2 2x + 2 = 10 Distributive Property 3 4 2x = 8 Simplify 5 two times x over two equals eight over two Division Property of Equality 6 x = 4 Simplify 2x + 2 + 2 = 10 + 2; Addition Property of Equality 2x + 2 - 2 = 10 - 2; Subtraction Property of Equality (2x + 2) (2) = 10 (2); Multiplication Property of Equality the quantity two times x plus two all over two equals ten over two; Division Property of Equality

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  1. 10 February, 06:02
    0
    x=4

    Step-by-step explanation:

    2 (x+1) = 10

    Distributive properties

    a * (b+c) = (a*b) + (a*c)

    Using distributive properties

    Then

    2 * (x+1) = (2*x) + (2*1)

    2 * (x+1) = 2x+2

    Now, commutative properties

    a*b=b*a

    Addition is cumulative

    a + (-b) = (-b) + a

    Therefore applying to 2x+2

    2x+2 + (-2) = 2x + (-2) + 2

    Then, applying to the equation

    2x+2 + (-2) = 10 + (-2), + * -=-

    2x+2 - 2=10-2

    2x=8

    Using division properties

    ax=b

    If a is none zero

    Then ax/a=b/a

    Therefore x=b/a

    Applying that to 2x=8

    2x=8. Divide both side by 2 which is none zero

    2x/2 = 8/2

    x=4
  2. 10 February, 06:05
    0
    2 (x + 1) = 10

    2x + 2 = 10

    2x + 2 - 2 = 10 - 2

    2x = 10 (Step 3)

    2x/2 = 8/2

    x = 4

    Step-by-step explanation:

    Given the equation:

    2 (x + 1) = 10

    Open the bracket by multiplying 2 by (x + 1) - Distributive property

    2x + 2 = 10;

    Subtract 2 from both sides.

    2x + 2 - 2 = 10 - 2 (Subtraction property of equality)

    2x = 8 (Step 3 justified).

    Divide both sides by 2

    2x/2 = 8/2 - Division property of equality.

    Therefore,

    x = 4. (Solved)
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