31-[2+8x-11(x+1)]=8(x+7)-[4(7x-1)+7-25x]

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Solution for 31-[2+8x-11(x+1)]=8(x+7)-[4(7x-1)+7-25x] equation:


Simplifying
31 + -1[2 + 8x + -11(x + 1)] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Reorder the terms:
31 + -1[2 + 8x + -11(1 + x)] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]
31 + -1[2 + 8x + (1 * -11 + x * -11)] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]
31 + -1[2 + 8x + (-11 + -11x)] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Reorder the terms:
31 + -1[2 + -11 + 8x + -11x] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Combine like terms: 2 + -11 = -9
31 + -1[-9 + 8x + -11x] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Combine like terms: 8x + -11x = -3x
31 + -1[-9 + -3x] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]
31 + [-9 * -1 + -3x * -1] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]
31 + [9 + 3x] = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Combine like terms: 31 + 9 = 40
40 + 3x = 8(x + 7) + -1[4(7x + -1) + 7 + -25x]

Reorder the terms:
40 + 3x = 8(7 + x) + -1[4(7x + -1) + 7 + -25x]
40 + 3x = (7 * 8 + x * 8) + -1[4(7x + -1) + 7 + -25x]
40 + 3x = (56 + 8x) + -1[4(7x + -1) + 7 + -25x]

Reorder the terms:
40 + 3x = 56 + 8x + -1[4(-1 + 7x) + 7 + -25x]
40 + 3x = 56 + 8x + -1[(-1 * 4 + 7x * 4) + 7 + -25x]
40 + 3x = 56 + 8x + -1[(-4 + 28x) + 7 + -25x]

Reorder the terms:
40 + 3x = 56 + 8x + -1[-4 + 7 + 28x + -25x]

Combine like terms: -4 + 7 = 3
40 + 3x = 56 + 8x + -1[3 + 28x + -25x]

Combine like terms: 28x + -25x = 3x
40 + 3x = 56 + 8x + -1[3 + 3x]
40 + 3x = 56 + 8x + [3 * -1 + 3x * -1]
40 + 3x = 56 + 8x + [-3 + -3x]

Reorder the terms:
40 + 3x = 56 + -3 + 8x + -3x

Combine like terms: 56 + -3 = 53
40 + 3x = 53 + 8x + -3x

Combine like terms: 8x + -3x = 5x
40 + 3x = 53 + 5x

Solving
40 + 3x = 53 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
40 + 3x + -5x = 53 + 5x + -5x

Combine like terms: 3x + -5x = -2x
40 + -2x = 53 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -2x = 53 + 0
40 + -2x = 53

Add '-40' to each side of the equation.
40 + -40 + -2x = 53 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = 53 + -40
-2x = 53 + -40

Combine like terms: 53 + -40 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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