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