7(7x+1)-4x=13(3c-2)

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Solution for 7(7x+1)-4x=13(3c-2) equation:


Simplifying
7(7x + 1) + -4x = 13(3c + -2)

Reorder the terms:
7(1 + 7x) + -4x = 13(3c + -2)
(1 * 7 + 7x * 7) + -4x = 13(3c + -2)
(7 + 49x) + -4x = 13(3c + -2)

Combine like terms: 49x + -4x = 45x
7 + 45x = 13(3c + -2)

Reorder the terms:
7 + 45x = 13(-2 + 3c)
7 + 45x = (-2 * 13 + 3c * 13)
7 + 45x = (-26 + 39c)

Solving
7 + 45x = -26 + 39c

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 45x = -26 + -7 + 39c

Combine like terms: 7 + -7 = 0
0 + 45x = -26 + -7 + 39c
45x = -26 + -7 + 39c

Combine like terms: -26 + -7 = -33
45x = -33 + 39c

Divide each side by '45'.
x = -0.7333333333 + 0.8666666667c

Simplifying
x = -0.7333333333 + 0.8666666667c

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