4(4-4x)+7(-7x-2)=67

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Solution for 4(4-4x)+7(-7x-2)=67 equation: 


Simplifying
4(4 + -4x) + 7(-7x + -2) = 67
(4 * 4 + -4x * 4) + 7(-7x + -2) = 67
(16 + -16x) + 7(-7x + -2) = 67

Reorder the terms:
16 + -16x + 7(-2 + -7x) = 67
16 + -16x + (-2 * 7 + -7x * 7) = 67
16 + -16x + (-14 + -49x) = 67

Reorder the terms:
16 + -14 + -16x + -49x = 67

Combine like terms: 16 + -14 = 2
2 + -16x + -49x = 67

Combine like terms: -16x + -49x = -65x
2 + -65x = 67

Solving
2 + -65x = 67

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -65x = 67 + -2

Combine like terms: 2 + -2 = 0
0 + -65x = 67 + -2
-65x = 67 + -2

Combine like terms: 67 + -2 = 65
-65x = 65

Divide each side by '-65'.
x = -1

Simplifying
x = -1

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