-4(x-7)+6(7x-7)=-52

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Solution for -4(x-7)+6(7x-7)=-52 equation:


Simplifying
-4(x + -7) + 6(7x + -7) = -52

Reorder the terms:
-4(-7 + x) + 6(7x + -7) = -52
(-7 * -4 + x * -4) + 6(7x + -7) = -52
(28 + -4x) + 6(7x + -7) = -52

Reorder the terms:
28 + -4x + 6(-7 + 7x) = -52
28 + -4x + (-7 * 6 + 7x * 6) = -52
28 + -4x + (-42 + 42x) = -52

Reorder the terms:
28 + -42 + -4x + 42x = -52

Combine like terms: 28 + -42 = -14
-14 + -4x + 42x = -52

Combine like terms: -4x + 42x = 38x
-14 + 38x = -52

Solving
-14 + 38x = -52

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 38x = -52 + 14

Combine like terms: -14 + 14 = 0
0 + 38x = -52 + 14
38x = -52 + 14

Combine like terms: -52 + 14 = -38
38x = -38

Divide each side by '38'.
x = -1

Simplifying
x = -1

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