Solve 7x − 2(x + 1) = 6x + 14. (5 points)

Simplifying

7x + -2(x + 1) = 6x + 14

Reorder the terms:

7x + -2(1 + x) = 6x + 14

7x + (1 * -2 + x * -2) = 6x + 14

7x + (-2 + -2x) = 6x + 14

Reorder the terms:

-2 + 7x + -2x = 6x + 14

Combine like terms: 7x + -2x = 5x

-2 + 5x = 6x + 14

Reorder the terms:

-2 + 5x = 14 + 6x

Solving

-2 + 5x = 14 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-2 + 5x + -6x = 14 + 6x + -6x

Combine like terms: 5x + -6x = -1x

-2 + -1x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0

-2 + -1x = 14 + 0

-2 + -1x = 14

Add '2' to each side of the equation.

-2 + 2 + -1x = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 14 + 2

-1x = 14 + 2

Combine like terms: 14 + 2 = 16

-1x = 16

Divide each side by '-1'.

x = -16

Simplifying

x = -16

Step-by-step explanation:

hmm

Step-by-step explanation:

not sure

%40

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm