7[7-(-6x-3)]=336x+217

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Solution for 7[7-(-6x-3)]=336x+217 equation:


Simplifying
7[7 + -1(-6x + -3)] = 336x + 217

Reorder the terms:
7[7 + -1(-3 + -6x)] = 336x + 217
7[7 + (-3 * -1 + -6x * -1)] = 336x + 217
7[7 + (3 + 6x)] = 336x + 217

Combine like terms: 7 + 3 = 10
7[10 + 6x] = 336x + 217
[10 * 7 + 6x * 7] = 336x + 217
[70 + 42x] = 336x + 217

Reorder the terms:
70 + 42x = 217 + 336x

Solving
70 + 42x = 217 + 336x

Solving for variable 'x'.

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

Add '-336x' to each side of the equation.
70 + 42x + -336x = 217 + 336x + -336x

Combine like terms: 42x + -336x = -294x
70 + -294x = 217 + 336x + -336x

Combine like terms: 336x + -336x = 0
70 + -294x = 217 + 0
70 + -294x = 217

Add '-70' to each side of the equation.
70 + -70 + -294x = 217 + -70

Combine like terms: 70 + -70 = 0
0 + -294x = 217 + -70
-294x = 217 + -70

Combine like terms: 217 + -70 = 147
-294x = 147

Divide each side by '-294'.
x = -0.5

Simplifying
x = -0.5

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