-4(x-4)-7(1+3x)=34

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Solution for -4(x-4)-7(1+3x)=34 equation: 


Simplifying
-4(x + -4) + -7(1 + 3x) = 34

Reorder the terms:
-4(-4 + x) + -7(1 + 3x) = 34
(-4 * -4 + x * -4) + -7(1 + 3x) = 34
(16 + -4x) + -7(1 + 3x) = 34
16 + -4x + (1 * -7 + 3x * -7) = 34
16 + -4x + (-7 + -21x) = 34

Reorder the terms:
16 + -7 + -4x + -21x = 34

Combine like terms: 16 + -7 = 9
9 + -4x + -21x = 34

Combine like terms: -4x + -21x = -25x
9 + -25x = 34

Solving
9 + -25x = 34

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -25x = 34 + -9

Combine like terms: 9 + -9 = 0
0 + -25x = 34 + -9
-25x = 34 + -9

Combine like terms: 34 + -9 = 25
-25x = 25

Divide each side by '-25'.
x = -1

Simplifying
x = -1

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