7(x+1)+3(x+1)=-10

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Solution for 7(x+1)+3(x+1)=-10 equation:


Simplifying
7(x + 1) + 3(x + 1) = -10

Reorder the terms:
7(1 + x) + 3(x + 1) = -10
(1 * 7 + x * 7) + 3(x + 1) = -10
(7 + 7x) + 3(x + 1) = -10

Reorder the terms:
7 + 7x + 3(1 + x) = -10
7 + 7x + (1 * 3 + x * 3) = -10
7 + 7x + (3 + 3x) = -10

Reorder the terms:
7 + 3 + 7x + 3x = -10

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

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

Solving
10 + 10x = -10

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 10x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = -10 + -10
10x = -10 + -10

Combine like terms: -10 + -10 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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