3x-3+4x-3(1-x)=1

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Solution for 3x-3+4x-3(1-x)=1 equation:


Simplifying
3x + -3 + 4x + -3(1 + -1x) = 1
3x + -3 + 4x + (1 * -3 + -1x * -3) = 1
3x + -3 + 4x + (-3 + 3x) = 1

Reorder the terms:
-3 + -3 + 3x + 4x + 3x = 1

Combine like terms: -3 + -3 = -6
-6 + 3x + 4x + 3x = 1

Combine like terms: 3x + 4x = 7x
-6 + 7x + 3x = 1

Combine like terms: 7x + 3x = 10x
-6 + 10x = 1

Solving
-6 + 10x = 1

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 10x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 1 + 6
10x = 1 + 6

Combine like terms: 1 + 6 = 7
10x = 7

Divide each side by '10'.
x = 0.7

Simplifying
x = 0.7

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