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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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