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1. The five equivalent equations for the given equation are as follows:

   1) -6 + 6x = -6; multiplied by 2

   2) -1 + x = -1; divided by 3

   3) 1 + 3x = 1; added by 4

   4) -8 + 3x = -8; subtracted by 5

   5) 1 – x = 1; taking -3 as common

   What are equivalent equations?

   The equations that have the same solution are called equivalent equations.

   Calculation:

   The given equation is  – 3 + 3x = – 3

   1) Multiplying with 2:

   2(- 3 + 3x) = 2 × – 3

   ⇒ -6 + 6x = -6

   2) Dividing with 3:

   – 3/3 + 3x/3 = – 3/3

   ⇒ -1 + 3x = -1

   3) Adding 4 on both sides:

   – 3 + 3x + 4 = – 3 + 4

   ⇒ 1 + 3x = 1

   4) Subtracting 5 from both sides:

   – 3 + 3x -5 = – 3 -5

   ⇒ -8 + 3x = -8

   5) Taking -3 common:

   – 3 + 3x = – 3

   ⇒ -3(1 – x) = -3

   ⇒ 1 – x = 1

   Therefore, the required 5 equivalent equations are framed.

   Learn more about equivalent equations here:

   https://brainly.com/question/2972832

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