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Simplifying x * x + 3x + -3 = x * x + -2x + -38 Multiply x * x x2 + 3x + -3 = x * x + -2x + -38 Reorder the terms: -3 + 3x + x2 = x * x + -2x + -38 Multiply x * x -3 + 3x + x2 = x2 + -2x + -38 Reorder the terms: -3 + 3x + x2 = -38 + -2x + x2 Add '-1x2' to each side of the equation. -3 + 3x + x2 + -1x2 = -38 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 3x + 0 = -38 + -2x + x2 + -1x2 -3 + 3x = -38 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 3x = -38 + -2x + 0 -3 + 3x = -38 + -2x Solving -3 + 3x = -38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 3x + 2x = -38 + -2x + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 5x = -38 + 0 -3 + 5x = -38 Add '3' to each side of the equation. -3 + 3 + 5x = -38 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -38 + 3 5x = -38 + 3 Combine like terms: -38 + 3 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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