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Simplifying -2(-1x + 2) = 3(2x + 1) Reorder the terms: -2(2 + -1x) = 3(2x + 1) (2 * -2 + -1x * -2) = 3(2x + 1) (-4 + 2x) = 3(2x + 1) Reorder the terms: -4 + 2x = 3(1 + 2x) -4 + 2x = (1 * 3 + 2x * 3) -4 + 2x = (3 + 6x) Solving -4 + 2x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = 3 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 3 + 0 -4 + -4x = 3 Add '4' to each side of the equation. -4 + 4 + -4x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 3 + 4 -4x = 3 + 4 Combine like terms: 3 + 4 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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