7[9-(-9x-4)]=504x+287

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Solution for 7[9-(-9x-4)]=504x+287 equation:


Simplifying
7[9 + -1(-9x + -4)] = 504x + 287

Reorder the terms:
7[9 + -1(-4 + -9x)] = 504x + 287
7[9 + (-4 * -1 + -9x * -1)] = 504x + 287
7[9 + (4 + 9x)] = 504x + 287

Combine like terms: 9 + 4 = 13
7[13 + 9x] = 504x + 287
[13 * 7 + 9x * 7] = 504x + 287
[91 + 63x] = 504x + 287

Reorder the terms:
91 + 63x = 287 + 504x

Solving
91 + 63x = 287 + 504x

Solving for variable 'x'.

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

Add '-504x' to each side of the equation.
91 + 63x + -504x = 287 + 504x + -504x

Combine like terms: 63x + -504x = -441x
91 + -441x = 287 + 504x + -504x

Combine like terms: 504x + -504x = 0
91 + -441x = 287 + 0
91 + -441x = 287

Add '-91' to each side of the equation.
91 + -91 + -441x = 287 + -91

Combine like terms: 91 + -91 = 0
0 + -441x = 287 + -91
-441x = 287 + -91

Combine like terms: 287 + -91 = 196
-441x = 196

Divide each side by '-441'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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