9(2x+2)+7(-3x-4)=-46

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Solution for 9(2x+2)+7(-3x-4)=-46 equation: 


Simplifying
9(2x + 2) + 7(-3x + -4) = -46

Reorder the terms:
9(2 + 2x) + 7(-3x + -4) = -46
(2 * 9 + 2x * 9) + 7(-3x + -4) = -46
(18 + 18x) + 7(-3x + -4) = -46

Reorder the terms:
18 + 18x + 7(-4 + -3x) = -46
18 + 18x + (-4 * 7 + -3x * 7) = -46
18 + 18x + (-28 + -21x) = -46

Reorder the terms:
18 + -28 + 18x + -21x = -46

Combine like terms: 18 + -28 = -10
-10 + 18x + -21x = -46

Combine like terms: 18x + -21x = -3x
-10 + -3x = -46

Solving
-10 + -3x = -46

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -3x = -46 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -46 + 10
-3x = -46 + 10

Combine like terms: -46 + 10 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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