b=3(1-4x)-(5x+2)(7+x)

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Solution for b=3(1-4x)-(5x+2)(7+x) equation:


Simplifying
b = 3(1 + -4x) + -1(5x + 2)(7 + x)
b = (1 * 3 + -4x * 3) + -1(5x + 2)(7 + x)
b = (3 + -12x) + -1(5x + 2)(7 + x)

Reorder the terms:
b = 3 + -12x + -1(2 + 5x)(7 + x)

Multiply (2 + 5x) * (7 + x)
b = 3 + -12x + -1(2(7 + x) + 5x * (7 + x))
b = 3 + -12x + -1((7 * 2 + x * 2) + 5x * (7 + x))
b = 3 + -12x + -1((14 + 2x) + 5x * (7 + x))
b = 3 + -12x + -1(14 + 2x + (7 * 5x + x * 5x))
b = 3 + -12x + -1(14 + 2x + (35x + 5x2))

Combine like terms: 2x + 35x = 37x
b = 3 + -12x + -1(14 + 37x + 5x2)
b = 3 + -12x + (14 * -1 + 37x * -1 + 5x2 * -1)
b = 3 + -12x + (-14 + -37x + -5x2)

Reorder the terms:
b = 3 + -14 + -12x + -37x + -5x2

Combine like terms: 3 + -14 = -11
b = -11 + -12x + -37x + -5x2

Combine like terms: -12x + -37x = -49x
b = -11 + -49x + -5x2

Solving
b = -11 + -49x + -5x2

Solving for variable 'b'.

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

Simplifying
b = -11 + -49x + -5x2

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