1+7(15-3x)-(2x+48)=-34(5-x)+18(1-2x)

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Solution for 1+7(15-3x)-(2x+48)=-34(5-x)+18(1-2x) equation: 


Simplifying
1 + 7(15 + -3x) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x)
1 + (15 * 7 + -3x * 7) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x)
1 + (105 + -21x) + -1(2x + 48) = -34(5 + -1x) + 18(1 + -2x)

Reorder the terms:
1 + 105 + -21x + -1(48 + 2x) = -34(5 + -1x) + 18(1 + -2x)
1 + 105 + -21x + (48 * -1 + 2x * -1) = -34(5 + -1x) + 18(1 + -2x)
1 + 105 + -21x + (-48 + -2x) = -34(5 + -1x) + 18(1 + -2x)

Reorder the terms:
1 + 105 + -48 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x)

Combine like terms: 1 + 105 = 106
106 + -48 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x)

Combine like terms: 106 + -48 = 58
58 + -21x + -2x = -34(5 + -1x) + 18(1 + -2x)

Combine like terms: -21x + -2x = -23x
58 + -23x = -34(5 + -1x) + 18(1 + -2x)
58 + -23x = (5 * -34 + -1x * -34) + 18(1 + -2x)
58 + -23x = (-170 + 34x) + 18(1 + -2x)
58 + -23x = -170 + 34x + (1 * 18 + -2x * 18)
58 + -23x = -170 + 34x + (18 + -36x)

Reorder the terms:
58 + -23x = -170 + 18 + 34x + -36x

Combine like terms: -170 + 18 = -152
58 + -23x = -152 + 34x + -36x

Combine like terms: 34x + -36x = -2x
58 + -23x = -152 + -2x

Solving
58 + -23x = -152 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
58 + -23x + 2x = -152 + -2x + 2x

Combine like terms: -23x + 2x = -21x
58 + -21x = -152 + -2x + 2x

Combine like terms: -2x + 2x = 0
58 + -21x = -152 + 0
58 + -21x = -152

Add '-58' to each side of the equation.
58 + -58 + -21x = -152 + -58

Combine like terms: 58 + -58 = 0
0 + -21x = -152 + -58
-21x = -152 + -58

Combine like terms: -152 + -58 = -210
-21x = -210

Divide each side by '-21'.
x = 10

Simplifying
x = 10

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