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Simplifying -2(3 + -2x) = -1(4x + 1) (3 * -2 + -2x * -2) = -1(4x + 1) (-6 + 4x) = -1(4x + 1) Reorder the terms: -6 + 4x = -1(1 + 4x) -6 + 4x = (1 * -1 + 4x * -1) -6 + 4x = (-1 + -4x) Solving -6 + 4x = -1 + -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. -6 + 4x + 4x = -1 + -4x + 4x Combine like terms: 4x + 4x = 8x -6 + 8x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 8x = -1 + 0 -6 + 8x = -1 Add '6' to each side of the equation. -6 + 6 + 8x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -1 + 6 8x = -1 + 6 Combine like terms: -1 + 6 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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