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Simplifying -1(2x + -1) + -2 = 4(1 + -1x) Reorder the terms: -1(-1 + 2x) + -2 = 4(1 + -1x) (-1 * -1 + 2x * -1) + -2 = 4(1 + -1x) (1 + -2x) + -2 = 4(1 + -1x) Reorder the terms: 1 + -2 + -2x = 4(1 + -1x) Combine like terms: 1 + -2 = -1 -1 + -2x = 4(1 + -1x) -1 + -2x = (1 * 4 + -1x * 4) -1 + -2x = (4 + -4x) Solving -1 + -2x = 4 + -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. -1 + -2x + 4x = 4 + -4x + 4x Combine like terms: -2x + 4x = 2x -1 + 2x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 2x = 4 + 0 -1 + 2x = 4 Add '1' to each side of the equation. -1 + 1 + 2x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 4 + 1 2x = 4 + 1 Combine like terms: 4 + 1 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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