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Simplifying
x + 3 + x + 4 = x + 7 + 2x + 7

Reorder the terms:
3 + 4 + x + x = x + 7 + 2x + 7

Combine like terms: 3 + 4 = 7
7 + x + x = x + 7 + 2x + 7

Combine like terms: x + x = 2x
7 + 2x = x + 7 + 2x + 7

Reorder the terms:
7 + 2x = 7 + 7 + x + 2x

Combine like terms: 7 + 7 = 14
7 + 2x = 14 + x + 2x

Combine like terms: x + 2x = 3x
7 + 2x = 14 + 3x

Solving
7 + 2x = 14 + 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 = 14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
7 + -1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -1x = 14 + 0
7 + -1x = 14

Add '-7' to each side of the equation.
7 + -7 + -1x = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 14 + -7
-1x = 14 + -7

Combine like terms: 14 + -7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
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