4(x+35)-3(-x+35)=7

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Solution for 4(x+35)-3(-x+35)=7 equation: 


Simplifying
4(x + 35) + -3(-1x + 35) = 7

Reorder the terms:
4(35 + x) + -3(-1x + 35) = 7
(35 * 4 + x * 4) + -3(-1x + 35) = 7
(140 + 4x) + -3(-1x + 35) = 7

Reorder the terms:
140 + 4x + -3(35 + -1x) = 7
140 + 4x + (35 * -3 + -1x * -3) = 7
140 + 4x + (-105 + 3x) = 7

Reorder the terms:
140 + -105 + 4x + 3x = 7

Combine like terms: 140 + -105 = 35
35 + 4x + 3x = 7

Combine like terms: 4x + 3x = 7x
35 + 7x = 7

Solving
35 + 7x = 7

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 7x = 7 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 7 + -35
7x = 7 + -35

Combine like terms: 7 + -35 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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