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Simplifying -2(2x + 1) = 3(2 + -1x) Reorder the terms: -2(1 + 2x) = 3(2 + -1x) (1 * -2 + 2x * -2) = 3(2 + -1x) (-2 + -4x) = 3(2 + -1x) -2 + -4x = (2 * 3 + -1x * 3) -2 + -4x = (6 + -3x) Solving -2 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -2 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -1x = 6 + 0 -2 + -1x = 6 Add '2' to each side of the equation. -2 + 2 + -1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 6 + 2 -1x = 6 + 2 Combine like terms: 6 + 2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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