4(x+35)-3(-x+28)=-7

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Solution for 4(x+35)-3(-x+28)=-7 equation:


Simplifying
4(x + 35) + -3(-1x + 28) = -7

Reorder the terms:
4(35 + x) + -3(-1x + 28) = -7
(35 * 4 + x * 4) + -3(-1x + 28) = -7
(140 + 4x) + -3(-1x + 28) = -7

Reorder the terms:
140 + 4x + -3(28 + -1x) = -7
140 + 4x + (28 * -3 + -1x * -3) = -7
140 + 4x + (-84 + 3x) = -7

Reorder the terms:
140 + -84 + 4x + 3x = -7

Combine like terms: 140 + -84 = 56
56 + 4x + 3x = -7

Combine like terms: 4x + 3x = 7x
56 + 7x = -7

Solving
56 + 7x = -7

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 7x = -7 + -56

Combine like terms: 56 + -56 = 0
0 + 7x = -7 + -56
7x = -7 + -56

Combine like terms: -7 + -56 = -63
7x = -63

Divide each side by '7'.
x = -9

Simplifying
x = -9

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