Question

Expand and simplify 2(x+7) + 3(x + 1)​

Answer 1

Answer: 10

Step-by-step explanation Simplifying

2x + 7 = 3(x + -1)

Reorder the terms:

7 + 2x = 3(x + -1)

Reorder the terms:

7 + 2x = 3(-1 + x)

7 + 2x = (-1 * 3 + x * 3)

7 + 2x = (-3 + 3x)

Solving

7 + 2x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

7 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x

7 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + -1x = -3 + 0

7 + -1x = -3

Add '-7' to each side of the equation.

7 + -7 + -1x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + -1x = -3 + -7

-1x = -3 + -7

Combine like terms: -3 + -7 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

Answer 2

Answer:

$5x+17$

Step-by-step explanation:

$2(x+7) + 3(x + 1)$

$=2x+14+3\left(x+1\right)$

$=2x+14+3x+3$

$\mathrm{Group\:like\:terms}$

$=2x+3x+14+3$

$\mathrm{Add\:the\:numbers:}\:14+3=17$

$=2x+3x+17$

$\mathrm{Add\:similar\:elements:}\:2x+3x=5x$

$=5x+17$