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Simplifying x2 + 4x = x2 + 3x + 2 Reorder the terms: 4x + x2 = x2 + 3x + 2 Reorder the terms: 4x + x2 = 2 + 3x + x2 Add '-1x2' to each side of the equation. 4x + x2 + -1x2 = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x + 0 = 2 + 3x + x2 + -1x2 4x = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4x = 2 + 3x + 0 4x = 2 + 3x Solving 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. 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 1x = 2 + 0 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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