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Simplifying 2x + -1 = 3(1 + -2x) Reorder the terms: -1 + 2x = 3(1 + -2x) -1 + 2x = (1 * 3 + -2x * 3) -1 + 2x = (3 + -6x) Solving -1 + 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. -1 + 2x + 6x = 3 + -6x + 6x Combine like terms: 2x + 6x = 8x -1 + 8x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 8x = 3 + 0 -1 + 8x = 3 Add '1' to each side of the equation. -1 + 1 + 8x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 3 + 1 8x = 3 + 1 Combine like terms: 3 + 1 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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