Simplify 4x + 8x using the properties of operations.

To simplify the expression 4x + 8x, we can combine the like terms. The terms 4x and 8x have the same variable (x), so we can add the coefficients (4 + 8) which equals 12. Therefore, the simplified expression is 12x.

Simplify 9g−7h−6g + 2h

To simplify 9g - 7h - 6g + 2h, we can combine the like terms.

The terms 9g and -6g have the same variable (g), so we can add the coefficients (9 - 6) which equals 3g.

Similarly, the terms -7h and 2h have the same variable (h), so we can add the coefficients (-7 + 2) which equals -5h.

Therefore, the simplified expression is 3g - 5h.

Simplify 2a − 4b +7 + 8a + 6b − 2

To simplify 2a - 4b + 7 + 8a + 6b - 2, we can combine the like terms.

The terms 2a and 8a have the same variable (a), so we can add the coefficients (2 + 8) which equals 10a.

Similarly, the terms -4b and 6b have the same variable (b), so we can add the coefficients (-4 + 6) which equals 2b.

Next, we combine the constants 7 and -2, which equals 5.

Therefore, the simplified expression is 10a + 2b + 5.

Simplify 3 over 7x + 2 over 7x using properties of operations.

To simplify the expression 3/(7x) + 2/(7x), we can combine the fractions because they have the same denominator.

Since the denominators are the same, we can add the numerators to get the numerator of the simplified fraction. Therefore, the simplified numerator is 3 + 2 = 5.

The denominator remains the same, which is 7x.

Thus, the simplified expression is 5/(7x).

Simplify 3 over 7x + 2 over 7x using properties of operations

5 over 7x^2

5 over 14x

5 over 14x^2

5 over 7x

Apologies for the previous incorrect response. The correct simplification of 3/(7x) + 2/(7x) using properties of operations is:

When we add the two fractions, we can combine the numerators and keep the common denominator:

(3 + 2)/(7x) = 5/(7x)

Therefore, the simplified expression is 5/(7x).

To simplify the expression 4x + 8x, we can use the distributive property to combine like terms. Like terms have the same variable(s) raised to the same powers.

Step 1: Combine the coefficients of the like terms.
In this case, the like terms are 4x and 8x. Since they both have the variable x raised to the power of 1, we can add their coefficients:
4x + 8x = 12x

Step 2: Write down the simplified expression.
The simplified expression is 12x.

Therefore, the simplified form of 4x + 8x using the properties of operations is 12x.