What is the reason for each step in the solution of the equation?
−6x = −2 (x + 12)
Drag and drop the reasons into the boxes to correctly complete the table.
−6x = −2 (x + 12)
−6x = −2x − 24
−4x = −24
x = 6
Distributive Property or Division Property of Equality or Associate Property or Given, or Addition Property of Equality

See below

Step-by-step explanation:

The given equation is

Given

Distributive Property

Addition property of equality;

Division property of equality.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°