7=3(x+1)+1

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Solution for 7=3(x+1)+1 equation: 


Simplifying
7 = 3(x + 1) + 1

Reorder the terms:
7 = 3(1 + x) + 1
7 = (1 * 3 + x * 3) + 1
7 = (3 + 3x) + 1

Reorder the terms:
7 = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
7 = 4 + 3x

Solving
7 = 4 + 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 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x = 4 + 0
7 + -3x = 4

Add '-7' to each side of the equation.
7 + -7 + -3x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 4 + -7
-3x = 4 + -7

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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