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Simplifying 3x + 2(x + -1) = 2(2x + 1) Reorder the terms: 3x + 2(-1 + x) = 2(2x + 1) 3x + (-1 * 2 + x * 2) = 2(2x + 1) 3x + (-2 + 2x) = 2(2x + 1) Reorder the terms: -2 + 3x + 2x = 2(2x + 1) Combine like terms: 3x + 2x = 5x -2 + 5x = 2(2x + 1) Reorder the terms: -2 + 5x = 2(1 + 2x) -2 + 5x = (1 * 2 + 2x * 2) -2 + 5x = (2 + 4x) Solving -2 + 5x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 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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