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Simplifying 2x + (2x + -1(X + -4)) = -1(x + -1(5 + -7)) Reorder the terms: 2x + (2x + -1(-4 + X)) = -1(x + -1(5 + -7)) 2x + (2x + (-4 * -1 + X * -1)) = -1(x + -1(5 + -7)) 2x + (2x + (4 + -1X)) = -1(x + -1(5 + -7)) Reorder the terms: 2x + (4 + -1X + 2x) = -1(x + -1(5 + -7)) Remove parenthesis around (4 + -1X + 2x) 2x + 4 + -1X + 2x = -1(x + -1(5 + -7)) Reorder the terms: 4 + -1X + 2x + 2x = -1(x + -1(5 + -7)) Combine like terms: 2x + 2x = 4x 4 + -1X + 4x = -1(x + -1(5 + -7)) Combine like terms: 5 + -7 = -2 4 + -1X + 4x = -1(x + -1(-2)) Multiply -1 * -2 4 + -1X + 4x = -1(x + 2) Reorder the terms: 4 + -1X + 4x = -1(2 + x) 4 + -1X + 4x = (2 * -1 + x * -1) 4 + -1X + 4x = (-2 + -1x) Solving 4 + -1X + 4x = -2 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1X + -4 + 4x = -2 + -4 + -1x Reorder the terms: 4 + -4 + -1X + 4x = -2 + -4 + -1x Combine like terms: 4 + -4 = 0 0 + -1X + 4x = -2 + -4 + -1x -1X + 4x = -2 + -4 + -1x Combine like terms: -2 + -4 = -6 -1X + 4x = -6 + -1x Add '-4x' to each side of the equation. -1X + 4x + -4x = -6 + -1x + -4x Combine like terms: 4x + -4x = 0 -1X + 0 = -6 + -1x + -4x -1X = -6 + -1x + -4x Combine like terms: -1x + -4x = -5x -1X = -6 + -5x Divide each side by '-1'. X = 6 + 5x Simplifying X = 6 + 5x
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