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Solve for x : x - 3(2 -x) = 4x - (x - 1) and explain please thanks

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Solving:

x - 3(2-x) = 4x - (x - 1)

Delete the first parentheses by the distributive property, with the distributive property, we multiply the '3' first, then resolve it and the second parentheses eliminate by changing the sign:

x - 6 + 3x = 4x - x + 1
Now, put the numbers with letter (incognito) to the right and numbers without letter to the left, changing the signal when changing sides.

x + 3x - 4x + x = 6 + 1

\diagup\!\!\!\!\!4x - \diagup\!\!\!\!\!4x + x = 7

\boxed{\boxed{x = 7}}\end{array}}\qquad\quad\checkmark

Answer:

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