Respuesta :

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[tex]11x + 16 = (9x + 2) + 32[/tex]

[tex]11x + 16 = 9x + 34[/tex]

Subtract sides 16

[tex]11x + 16 - 16 = 9x + 34- 16[/tex]

Simplification

[tex]11x = 9x + 18[/tex]

Subtract sides 9x

[tex] - 9x + 11x = - 9x + 9x + 18[/tex]

Simplification

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

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Answer:

x=9

Step-by-step explanation:

angle 4 = angle 1 + angle 2

11x + 16 = 9x + 2 + 32

combine like terms

11x - 9x = 2 + 32 - 16

2x = 34 - 16

2x = 18

x = 18/2

x = 9