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Simplifying x2 + 3x + -2 = x2 + 5x + 4 Reorder the terms: -2 + 3x + x2 = x2 + 5x + 4 Reorder the terms: -2 + 3x + x2 = 4 + 5x + x2 Add '-1x2' to each side of the equation. -2 + 3x + x2 + -1x2 = 4 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 3x + 0 = 4 + 5x + x2 + -1x2 -2 + 3x = 4 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 3x = 4 + 5x + 0 -2 + 3x = 4 + 5x Solving -2 + 3x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = 4 + 0 -2 + -2x = 4 Add '2' to each side of the equation. -2 + 2 + -2x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 4 + 2 -2x = 4 + 2 Combine like terms: 4 + 2 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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