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Simplifying 2x + -1(5 + -4x) + 1 = x + (3x + -5) 2x + (5 * -1 + -4x * -1) + 1 = x + (3x + -5) 2x + (-5 + 4x) + 1 = x + (3x + -5) Reorder the terms: -5 + 1 + 2x + 4x = x + (3x + -5) Combine like terms: -5 + 1 = -4 -4 + 2x + 4x = x + (3x + -5) Combine like terms: 2x + 4x = 6x -4 + 6x = x + (3x + -5) Reorder the terms: -4 + 6x = x + (-5 + 3x) Remove parenthesis around (-5 + 3x) -4 + 6x = x + -5 + 3x Reorder the terms: -4 + 6x = -5 + x + 3x Combine like terms: x + 3x = 4x -4 + 6x = -5 + 4x Solving -4 + 6x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = -5 + 0 -4 + 2x = -5 Add '4' to each side of the equation. -4 + 4 + 2x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -5 + 4 2x = -5 + 4 Combine like terms: -5 + 4 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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