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Simplifying -1(1 + -3x) = 2(2x + 1) (1 * -1 + -3x * -1) = 2(2x + 1) (-1 + 3x) = 2(2x + 1) Reorder the terms: -1 + 3x = 2(1 + 2x) -1 + 3x = (1 * 2 + 2x * 2) -1 + 3x = (2 + 4x) Solving -1 + 3x = 2 + 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 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = 2 + 0 -1 + -1x = 2 Add '1' to each side of the equation. -1 + 1 + -1x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 2 + 1 -1x = 2 + 1 Combine like terms: 2 + 1 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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