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