-45=-7(-2+8x)-3(7x-6)

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Solution for -45=-7(-2+8x)-3(7x-6) equation:


Simplifying
-45 = -7(-2 + 8x) + -3(7x + -6)
-45 = (-2 * -7 + 8x * -7) + -3(7x + -6)
-45 = (14 + -56x) + -3(7x + -6)

Reorder the terms:
-45 = 14 + -56x + -3(-6 + 7x)
-45 = 14 + -56x + (-6 * -3 + 7x * -3)
-45 = 14 + -56x + (18 + -21x)

Reorder the terms:
-45 = 14 + 18 + -56x + -21x

Combine like terms: 14 + 18 = 32
-45 = 32 + -56x + -21x

Combine like terms: -56x + -21x = -77x
-45 = 32 + -77x

Solving
-45 = 32 + -77x

Solving for variable 'x'.

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

Add '77x' to each side of the equation.
-45 + 77x = 32 + -77x + 77x

Combine like terms: -77x + 77x = 0
-45 + 77x = 32 + 0
-45 + 77x = 32

Add '45' to each side of the equation.
-45 + 45 + 77x = 32 + 45

Combine like terms: -45 + 45 = 0
0 + 77x = 32 + 45
77x = 32 + 45

Combine like terms: 32 + 45 = 77
77x = 77

Divide each side by '77'.
x = 1

Simplifying
x = 1

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