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Simplifying x2 + -5x + -6 = x2 + 3x + -10 Reorder the terms: -6 + -5x + x2 = x2 + 3x + -10 Reorder the terms: -6 + -5x + x2 = -10 + 3x + x2 Add '-1x2' to each side of the equation. -6 + -5x + x2 + -1x2 = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -5x + 0 = -10 + 3x + x2 + -1x2 -6 + -5x = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -5x = -10 + 3x + 0 -6 + -5x = -10 + 3x Solving -6 + -5x = -10 + 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. -6 + -5x + -3x = -10 + 3x + -3x Combine like terms: -5x + -3x = -8x -6 + -8x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -8x = -10 + 0 -6 + -8x = -10 Add '6' to each side of the equation. -6 + 6 + -8x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -10 + 6 -8x = -10 + 6 Combine like terms: -10 + 6 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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