-7(x+8)+2(4x-1)+-5(4x-2)+6+4=-101

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Solution for -7(x+8)+2(4x-1)+-5(4x-2)+6+4=-101 equation: 


Simplifying
-7(x + 8) + 2(4x + -1) + -5(4x + -2) + 6 + 4 = -101

Reorder the terms:
-7(8 + x) + 2(4x + -1) + -5(4x + -2) + 6 + 4 = -101
(8 * -7 + x * -7) + 2(4x + -1) + -5(4x + -2) + 6 + 4 = -101
(-56 + -7x) + 2(4x + -1) + -5(4x + -2) + 6 + 4 = -101

Reorder the terms:
-56 + -7x + 2(-1 + 4x) + -5(4x + -2) + 6 + 4 = -101
-56 + -7x + (-1 * 2 + 4x * 2) + -5(4x + -2) + 6 + 4 = -101
-56 + -7x + (-2 + 8x) + -5(4x + -2) + 6 + 4 = -101

Reorder the terms:
-56 + -7x + -2 + 8x + -5(-2 + 4x) + 6 + 4 = -101
-56 + -7x + -2 + 8x + (-2 * -5 + 4x * -5) + 6 + 4 = -101
-56 + -7x + -2 + 8x + (10 + -20x) + 6 + 4 = -101

Reorder the terms:
-56 + -2 + 10 + 6 + 4 + -7x + 8x + -20x = -101

Combine like terms: -56 + -2 = -58
-58 + 10 + 6 + 4 + -7x + 8x + -20x = -101

Combine like terms: -58 + 10 = -48
-48 + 6 + 4 + -7x + 8x + -20x = -101

Combine like terms: -48 + 6 = -42
-42 + 4 + -7x + 8x + -20x = -101

Combine like terms: -42 + 4 = -38
-38 + -7x + 8x + -20x = -101

Combine like terms: -7x + 8x = 1x
-38 + 1x + -20x = -101

Combine like terms: 1x + -20x = -19x
-38 + -19x = -101

Solving
-38 + -19x = -101

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + -19x = -101 + 38

Combine like terms: -38 + 38 = 0
0 + -19x = -101 + 38
-19x = -101 + 38

Combine like terms: -101 + 38 = -63
-19x = -63

Divide each side by '-19'.
x = 3.315789474

Simplifying
x = 3.315789474

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