Use the distributive property
to create an equivalent
expression to 7x + 56

7(x+8)=7.x+7.8

Step-by-step explanation:

Distribution law:- The distributive property is an algebraic expression that is used to multiply a single value and two or more values within a set of parenthesis. The distributive property states that when a factor is multiplied by the sum or addition of two terms, it essential to multiply each of the two numbers by the factor,and finally perform the addition operation.

This property is symbolically

a(b+c)=a.b + a.c

given 7 x+ 56 =7(x+8)

using distribution property a(b+c)=a.b + a.c

                                             7(x+8) = 7.x+7.8

conclusion:

7(x+8) = 7.x+7.8

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.