Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 * 4x + 1
20x + 1
4x + 13
20x + 13

Step-by-step explanation:

12x + 6 - 8x + 7

= 12x - 8x + 6 + 7

= 4x + 13

Now multiplication with first part

4x + 1

(4x + 13) * (4x +1)

=4x * (4x +1) + 13 * (4x +1)

=16x^2 + 4x + 52x + 13

=16x^2 + 56x + 13

Now multiplication with second part

20x + 1

(4x + 13) * (20x + 1)

=4x * (20x + 1) + 13 * (20x + 1)

=80x^2 + 4x +260x + 13

=80^2 + 264x + 13

Now multiplication with third part

4x + 13

(4x + 13) * (4x + 13)

=4x * (4x + 13) + 13 * (4x + 13)

=16x^2 + 52x + 52X + 169

=16x^2 + 105x + 169

also equal to

(4x + 13)^2

Now multiplication with fourth part

20x + 13

(4x + 13) * (20x + 13)

=4x * (20x + 13) + 13 * (20x + 13)

=80x^2 + 52x + 260x + 169

=80x^2 + 312x + 169

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3