7[3-7(x-1)]+4[(5x+6)-7]=14x-333

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Solution for 7[3-7(x-1)]+4[(5x+6)-7]=14x-333 equation:


Simplifying
7[3 + -7(x + -1)] + 4[(5x + 6) + -7] = 14x + -333

Reorder the terms:
7[3 + -7(-1 + x)] + 4[(5x + 6) + -7] = 14x + -333
7[3 + (-1 * -7 + x * -7)] + 4[(5x + 6) + -7] = 14x + -333
7[3 + (7 + -7x)] + 4[(5x + 6) + -7] = 14x + -333

Combine like terms: 3 + 7 = 10
7[10 + -7x] + 4[(5x + 6) + -7] = 14x + -333
[10 * 7 + -7x * 7] + 4[(5x + 6) + -7] = 14x + -333
[70 + -49x] + 4[(5x + 6) + -7] = 14x + -333

Reorder the terms:
70 + -49x + 4[(6 + 5x) + -7] = 14x + -333

Remove parenthesis around (6 + 5x)
70 + -49x + 4[6 + 5x + -7] = 14x + -333

Reorder the terms:
70 + -49x + 4[6 + -7 + 5x] = 14x + -333

Combine like terms: 6 + -7 = -1
70 + -49x + 4[-1 + 5x] = 14x + -333
70 + -49x + [-1 * 4 + 5x * 4] = 14x + -333
70 + -49x + [-4 + 20x] = 14x + -333

Reorder the terms:
70 + -4 + -49x + 20x = 14x + -333

Combine like terms: 70 + -4 = 66
66 + -49x + 20x = 14x + -333

Combine like terms: -49x + 20x = -29x
66 + -29x = 14x + -333

Reorder the terms:
66 + -29x = -333 + 14x

Solving
66 + -29x = -333 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
66 + -29x + -14x = -333 + 14x + -14x

Combine like terms: -29x + -14x = -43x
66 + -43x = -333 + 14x + -14x

Combine like terms: 14x + -14x = 0
66 + -43x = -333 + 0
66 + -43x = -333

Add '-66' to each side of the equation.
66 + -66 + -43x = -333 + -66

Combine like terms: 66 + -66 = 0
0 + -43x = -333 + -66
-43x = -333 + -66

Combine like terms: -333 + -66 = -399
-43x = -399

Divide each side by '-43'.
x = 9.279069767

Simplifying
x = 9.279069767

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