169(x+45)+79x=14549

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Solution for 169(x+45)+79x=14549 equation:


Simplifying
169(x + 45) + 79x = 14549

Reorder the terms:
169(45 + x) + 79x = 14549
(45 * 169 + x * 169) + 79x = 14549
(7605 + 169x) + 79x = 14549

Combine like terms: 169x + 79x = 248x
7605 + 248x = 14549

Solving
7605 + 248x = 14549

Solving for variable 'x'.

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

Add '-7605' to each side of the equation.
7605 + -7605 + 248x = 14549 + -7605

Combine like terms: 7605 + -7605 = 0
0 + 248x = 14549 + -7605
248x = 14549 + -7605

Combine like terms: 14549 + -7605 = 6944
248x = 6944

Divide each side by '248'.
x = 28

Simplifying
x = 28

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