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Simplifying (4 + -5x)(4x + -5) = (10x + -3)(7 + -2x) Reorder the terms: (4 + -5x)(-5 + 4x) = (10x + -3)(7 + -2x) Multiply (4 + -5x) * (-5 + 4x) (4(-5 + 4x) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x) ((-5 * 4 + 4x * 4) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x) ((-20 + 16x) + -5x * (-5 + 4x)) = (10x + -3)(7 + -2x) (-20 + 16x + (-5 * -5x + 4x * -5x)) = (10x + -3)(7 + -2x) (-20 + 16x + (25x + -20x2)) = (10x + -3)(7 + -2x) Combine like terms: 16x + 25x = 41x (-20 + 41x + -20x2) = (10x + -3)(7 + -2x) Reorder the terms: -20 + 41x + -20x2 = (-3 + 10x)(7 + -2x) Multiply (-3 + 10x) * (7 + -2x) -20 + 41x + -20x2 = (-3(7 + -2x) + 10x * (7 + -2x)) -20 + 41x + -20x2 = ((7 * -3 + -2x * -3) + 10x * (7 + -2x)) -20 + 41x + -20x2 = ((-21 + 6x) + 10x * (7 + -2x)) -20 + 41x + -20x2 = (-21 + 6x + (7 * 10x + -2x * 10x)) -20 + 41x + -20x2 = (-21 + 6x + (70x + -20x2)) Combine like terms: 6x + 70x = 76x -20 + 41x + -20x2 = (-21 + 76x + -20x2) Add '20x2' to each side of the equation. -20 + 41x + -20x2 + 20x2 = -21 + 76x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -20 + 41x + 0 = -21 + 76x + -20x2 + 20x2 -20 + 41x = -21 + 76x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -20 + 41x = -21 + 76x + 0 -20 + 41x = -21 + 76x Solving -20 + 41x = -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. -20 + 41x + -76x = -21 + 76x + -76x Combine like terms: 41x + -76x = -35x -20 + -35x = -21 + 76x + -76x Combine like terms: 76x + -76x = 0 -20 + -35x = -21 + 0 -20 + -35x = -21 Add '20' to each side of the equation. -20 + 20 + -35x = -21 + 20 Combine like terms: -20 + 20 = 0 0 + -35x = -21 + 20 -35x = -21 + 20 Combine like terms: -21 + 20 = -1 -35x = -1 Divide each side by '-35'. x = 0.02857142857 Simplifying x = 0.02857142857
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