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Simplifying (2x + 5)(x + -1) = 2x2 Reorder the terms: (5 + 2x)(x + -1) = 2x2 Reorder the terms: (5 + 2x)(-1 + x) = 2x2 Multiply (5 + 2x) * (-1 + x) (5(-1 + x) + 2x * (-1 + x)) = 2x2 ((-1 * 5 + x * 5) + 2x * (-1 + x)) = 2x2 ((-5 + 5x) + 2x * (-1 + x)) = 2x2 (-5 + 5x + (-1 * 2x + x * 2x)) = 2x2 (-5 + 5x + (-2x + 2x2)) = 2x2 Combine like terms: 5x + -2x = 3x (-5 + 3x + 2x2) = 2x2 Add '-2x2' to each side of the equation. -5 + 3x + 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 3x + 0 = 2x2 + -2x2 -5 + 3x = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 3x = 0 Solving -5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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