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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 + 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 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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