-7(1+4x)+7(2x-7)=-14

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Solution for -7(1+4x)+7(2x-7)=-14 equation:


Simplifying
-7(1 + 4x) + 7(2x + -7) = -14
(1 * -7 + 4x * -7) + 7(2x + -7) = -14
(-7 + -28x) + 7(2x + -7) = -14

Reorder the terms:
-7 + -28x + 7(-7 + 2x) = -14
-7 + -28x + (-7 * 7 + 2x * 7) = -14
-7 + -28x + (-49 + 14x) = -14

Reorder the terms:
-7 + -49 + -28x + 14x = -14

Combine like terms: -7 + -49 = -56
-56 + -28x + 14x = -14

Combine like terms: -28x + 14x = -14x
-56 + -14x = -14

Solving
-56 + -14x = -14

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + -14x = -14 + 56

Combine like terms: -56 + 56 = 0
0 + -14x = -14 + 56
-14x = -14 + 56

Combine like terms: -14 + 56 = 42
-14x = 42

Divide each side by '-14'.
x = -3

Simplifying
x = -3

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