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Simplifying (4x + -1x) + -1(2x + -1(x + -3x)) = -1(7x + -1(3x + -1x) + -4) Combine like terms: 4x + -1x = 3x (3x) + -1(2x + -1(x + -3x)) = -1(7x + -1(3x + -1x) + -4) (3x) + -1(2x + -1(x + -3x)) = -1(7x + -1(3x + -1x) + -4) Combine like terms: x + -3x = -2x (3x) + -1(2x + -1(-2x)) = -1(7x + -1(3x + -1x) + -4) Remove parenthesis around (-2x) (3x) + -1(2x + -1 * -2x) = -1(7x + -1(3x + -1x) + -4) Multiply -1 * -2 (3x) + -1(2x + 2x) = -1(7x + -1(3x + -1x) + -4) Combine like terms: 2x + 2x = 4x (3x) + -1(4x) = -1(7x + -1(3x + -1x) + -4) Remove parenthesis around (4x) (3x) + -1 * 4x = -1(7x + -1(3x + -1x) + -4) Multiply -1 * 4 (3x) + -4x = -1(7x + -1(3x + -1x) + -4) Combine like terms: (3x) + -4x = -1x -1x = -1(7x + -1(3x + -1x) + -4) Combine like terms: 3x + -1x = 2x -1x = -1(7x + -1(2x) + -4) Remove parenthesis around (2x) -1x = -1(7x + -1 * 2x + -4) Multiply -1 * 2 -1x = -1(7x + -2x + -4) Reorder the terms: -1x = -1(-4 + 7x + -2x) Combine like terms: 7x + -2x = 5x -1x = -1(-4 + 5x) -1x = (-4 * -1 + 5x * -1) -1x = (4 + -5x) Solving -1x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1x + 5x = 4 + -5x + 5x Combine like terms: -1x + 5x = 4x 4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 4x = 4 + 0 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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