7(1+7x)+4(1-2x)=52

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Solution for 7(1+7x)+4(1-2x)=52 equation: 


Simplifying
7(1 + 7x) + 4(1 + -2x) = 52
(1 * 7 + 7x * 7) + 4(1 + -2x) = 52
(7 + 49x) + 4(1 + -2x) = 52
7 + 49x + (1 * 4 + -2x * 4) = 52
7 + 49x + (4 + -8x) = 52

Reorder the terms:
7 + 4 + 49x + -8x = 52

Combine like terms: 7 + 4 = 11
11 + 49x + -8x = 52

Combine like terms: 49x + -8x = 41x
11 + 41x = 52

Solving
11 + 41x = 52

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 41x = 52 + -11

Combine like terms: 11 + -11 = 0
0 + 41x = 52 + -11
41x = 52 + -11

Combine like terms: 52 + -11 = 41
41x = 41

Divide each side by '41'.
x = 1

Simplifying
x = 1

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