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Simplifying x2 + 5x + -4 = x2 + -3x + -52 Reorder the terms: -4 + 5x + x2 = x2 + -3x + -52 Reorder the terms: -4 + 5x + x2 = -52 + -3x + x2 Add '-1x2' to each side of the equation. -4 + 5x + x2 + -1x2 = -52 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 5x + 0 = -52 + -3x + x2 + -1x2 -4 + 5x = -52 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 5x = -52 + -3x + 0 -4 + 5x = -52 + -3x Solving -4 + 5x = -52 + -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. -4 + 5x + 3x = -52 + -3x + 3x Combine like terms: 5x + 3x = 8x -4 + 8x = -52 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 8x = -52 + 0 -4 + 8x = -52 Add '4' to each side of the equation. -4 + 4 + 8x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -52 + 4 8x = -52 + 4 Combine like terms: -52 + 4 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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