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