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