70=-7(x+4)+6(6x-3)

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Solution for 70=-7(x+4)+6(6x-3) equation:


Simplifying
70 = -7(x + 4) + 6(6x + -3)

Reorder the terms:
70 = -7(4 + x) + 6(6x + -3)
70 = (4 * -7 + x * -7) + 6(6x + -3)
70 = (-28 + -7x) + 6(6x + -3)

Reorder the terms:
70 = -28 + -7x + 6(-3 + 6x)
70 = -28 + -7x + (-3 * 6 + 6x * 6)
70 = -28 + -7x + (-18 + 36x)

Reorder the terms:
70 = -28 + -18 + -7x + 36x

Combine like terms: -28 + -18 = -46
70 = -46 + -7x + 36x

Combine like terms: -7x + 36x = 29x
70 = -46 + 29x

Solving
70 = -46 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
70 + -29x = -46 + 29x + -29x

Combine like terms: 29x + -29x = 0
70 + -29x = -46 + 0
70 + -29x = -46

Add '-70' to each side of the equation.
70 + -70 + -29x = -46 + -70

Combine like terms: 70 + -70 = 0
0 + -29x = -46 + -70
-29x = -46 + -70

Combine like terms: -46 + -70 = -116
-29x = -116

Divide each side by '-29'.
x = 4

Simplifying
x = 4

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