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