-7(x-1)-4(x+3)=61

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Solution for -7(x-1)-4(x+3)=61 equation: 


Simplifying
-7(x + -1) + -4(x + 3) = 61

Reorder the terms:
-7(-1 + x) + -4(x + 3) = 61
(-1 * -7 + x * -7) + -4(x + 3) = 61
(7 + -7x) + -4(x + 3) = 61

Reorder the terms:
7 + -7x + -4(3 + x) = 61
7 + -7x + (3 * -4 + x * -4) = 61
7 + -7x + (-12 + -4x) = 61

Reorder the terms:
7 + -12 + -7x + -4x = 61

Combine like terms: 7 + -12 = -5
-5 + -7x + -4x = 61

Combine like terms: -7x + -4x = -11x
-5 + -11x = 61

Solving
-5 + -11x = 61

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -11x = 61 + 5

Combine like terms: -5 + 5 = 0
0 + -11x = 61 + 5
-11x = 61 + 5

Combine like terms: 61 + 5 = 66
-11x = 66

Divide each side by '-11'.
x = -6

Simplifying
x = -6

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