x+(7*x)+(x+9)=414

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Solution for x+(7*x)+(x+9)=414 equation:


Simplifying
x + (7x) + (x + 9) = 414

Reorder the terms:
x + (7x) + (9 + x) = 414

Remove parenthesis around (9 + x)
x + (7x) + 9 + x = 414

Reorder the terms:
9 + x + (7x) + x = 414

Combine like terms: x + (7x) = 8x
9 + 8x + x = 414

Combine like terms: 8x + x = 9x
9 + 9x = 414

Solving
9 + 9x = 414

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 9x = 414 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 414 + -9
9x = 414 + -9

Combine like terms: 414 + -9 = 405
9x = 405

Divide each side by '9'.
x = 45

Simplifying
x = 45

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