Answer: [tex]x = -16[/tex]
Simplifying
[tex]2[x + 5(6 + -1x) + 16] + -11 = 49 + -10x[/tex]
[tex]2[x + (6 * 5 + -1x * 5) + 16] + -11 = 49 + -10x[/tex]
[tex]2[x + (30 + -5x) + 16] + -11 = 49 + -10x[/tex]
Reorder the terms
[tex]2[30 + 16 + x + -5x] + -11 = 49 + -10x[/tex]
Combine like terms: 30 + 16 = 46
[tex]2[46 + x + -5x] + -11 = 49 + -10x[/tex]
Combine like terms: x + -5x = -4x
[tex]2[46 + -4x] + -11 = 49 + -10x[/tex]
[tex][46 * 2 + -4x * 2] + -11 = 49 + -10x[/tex]
[tex][92 + -8x] + -11 = 49 + -10x[/tex]
Reorder the terms
[tex]92 + -11 + -8x = 49 + -10x[/tex]
Combine like terms: 92 + -11 = 81
[tex]81 + -8x = 49 + -10x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10x' to each side of the equation
[tex]81 + -8x + 10x = 49 + -10x + 10x[/tex]
Combine like terms: -8x + 10x = 2x
[tex]81 + 2x = 49 + -10x + 10x[/tex]
Combine like terms: -10x + 10x = 0
[tex]81 + 2x = 49 + 0[/tex]
[tex]81 + 2x = 49[/tex]
Add '-81' to each side of the equation.
[tex]81 + -81 + 2x = 49 + -81[/tex]
Combine like terms: 81 + -81 = 0
[tex]0 + 2x = 49 + -81[/tex]
[tex]2x = 49 + -81[/tex]
Combine like terms: 49 + -81 = -32
[tex]2x = -32[/tex]
Divide each side by '2'.
[tex]x = -16[/tex]
