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Simplifying (-10x + 1)(2x + 5) = (10x + -3)(7 + -2x) Reorder the terms: (1 + -10x)(2x + 5) = (10x + -3)(7 + -2x) Reorder the terms: (1 + -10x)(5 + 2x) = (10x + -3)(7 + -2x) Multiply (1 + -10x) * (5 + 2x) (1(5 + 2x) + -10x * (5 + 2x)) = (10x + -3)(7 + -2x) ((5 * 1 + 2x * 1) + -10x * (5 + 2x)) = (10x + -3)(7 + -2x) ((5 + 2x) + -10x * (5 + 2x)) = (10x + -3)(7 + -2x) (5 + 2x + (5 * -10x + 2x * -10x)) = (10x + -3)(7 + -2x) (5 + 2x + (-50x + -20x2)) = (10x + -3)(7 + -2x) Combine like terms: 2x + -50x = -48x (5 + -48x + -20x2) = (10x + -3)(7 + -2x) Reorder the terms: 5 + -48x + -20x2 = (-3 + 10x)(7 + -2x) Multiply (-3 + 10x) * (7 + -2x) 5 + -48x + -20x2 = (-3(7 + -2x) + 10x * (7 + -2x)) 5 + -48x + -20x2 = ((7 * -3 + -2x * -3) + 10x * (7 + -2x)) 5 + -48x + -20x2 = ((-21 + 6x) + 10x * (7 + -2x)) 5 + -48x + -20x2 = (-21 + 6x + (7 * 10x + -2x * 10x)) 5 + -48x + -20x2 = (-21 + 6x + (70x + -20x2)) Combine like terms: 6x + 70x = 76x 5 + -48x + -20x2 = (-21 + 76x + -20x2) Add '20x2' to each side of the equation. 5 + -48x + -20x2 + 20x2 = -21 + 76x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 5 + -48x + 0 = -21 + 76x + -20x2 + 20x2 5 + -48x = -21 + 76x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 5 + -48x = -21 + 76x + 0 5 + -48x = -21 + 76x Solving 5 + -48x = -21 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 5 + -48x + -76x = -21 + 76x + -76x Combine like terms: -48x + -76x = -124x 5 + -124x = -21 + 76x + -76x Combine like terms: 76x + -76x = 0 5 + -124x = -21 + 0 5 + -124x = -21 Add '-5' to each side of the equation. 5 + -5 + -124x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -124x = -21 + -5 -124x = -21 + -5 Combine like terms: -21 + -5 = -26 -124x = -26 Divide each side by '-124'. x = 0.2096774194 Simplifying x = 0.2096774194
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