7(3x-6)+5(X+3)+(17-X)4-11=0

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Solution for 7(3x-6)+5(X+3)+(17-X)4-11=0 equation: 


Simplifying
7(3x + -6) + 5(X + 3) + (17 + -1X) * 4 + -11 = 0

Reorder the terms:
7(-6 + 3x) + 5(X + 3) + (17 + -1X) * 4 + -11 = 0
(-6 * 7 + 3x * 7) + 5(X + 3) + (17 + -1X) * 4 + -11 = 0
(-42 + 21x) + 5(X + 3) + (17 + -1X) * 4 + -11 = 0

Reorder the terms:
-42 + 21x + 5(3 + X) + (17 + -1X) * 4 + -11 = 0
-42 + 21x + (3 * 5 + X * 5) + (17 + -1X) * 4 + -11 = 0
-42 + 21x + (15 + 5X) + (17 + -1X) * 4 + -11 = 0

Reorder the terms for easier multiplication:
-42 + 21x + 15 + 5X + 4(17 + -1X) + -11 = 0
-42 + 21x + 15 + 5X + (17 * 4 + -1X * 4) + -11 = 0
-42 + 21x + 15 + 5X + (68 + -4X) + -11 = 0

Reorder the terms:
-42 + 15 + 68 + -11 + 5X + -4X + 21x = 0

Combine like terms: -42 + 15 = -27
-27 + 68 + -11 + 5X + -4X + 21x = 0

Combine like terms: -27 + 68 = 41
41 + -11 + 5X + -4X + 21x = 0

Combine like terms: 41 + -11 = 30
30 + 5X + -4X + 21x = 0

Combine like terms: 5X + -4X = 1X
30 + 1X + 21x = 0

Solving
30 + 1X + 21x = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + 1X + -30 + 21x = 0 + -30

Reorder the terms:
30 + -30 + 1X + 21x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 1X + 21x = 0 + -30
1X + 21x = 0 + -30

Combine like terms: 0 + -30 = -30
1X + 21x = -30

Add '-21x' to each side of the equation.
1X + 21x + -21x = -30 + -21x

Combine like terms: 21x + -21x = 0
1X + 0 = -30 + -21x
1X = -30 + -21x

Divide each side by '1'.
X = -30 + -21x

Simplifying
X = -30 + -21x

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