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Simplifying (x + 1)(x + -1) + 5x + -3 = (x + 3)(x + -3) + -5(8x) Reorder the terms: (1 + x)(x + -1) + 5x + -3 = (x + 3)(x + -3) + -5(8x) Reorder the terms: (1 + x)(-1 + x) + 5x + -3 = (x + 3)(x + -3) + -5(8x) Multiply (1 + x) * (-1 + x) (1(-1 + x) + x(-1 + x)) + 5x + -3 = (x + 3)(x + -3) + -5(8x) ((-1 * 1 + x * 1) + x(-1 + x)) + 5x + -3 = (x + 3)(x + -3) + -5(8x) ((-1 + 1x) + x(-1 + x)) + 5x + -3 = (x + 3)(x + -3) + -5(8x) (-1 + 1x + (-1 * x + x * x)) + 5x + -3 = (x + 3)(x + -3) + -5(8x) (-1 + 1x + (-1x + x2)) + 5x + -3 = (x + 3)(x + -3) + -5(8x) Combine like terms: 1x + -1x = 0 (-1 + 0 + x2) + 5x + -3 = (x + 3)(x + -3) + -5(8x) (-1 + x2) + 5x + -3 = (x + 3)(x + -3) + -5(8x) Reorder the terms: -1 + -3 + 5x + x2 = (x + 3)(x + -3) + -5(8x) Combine like terms: -1 + -3 = -4 -4 + 5x + x2 = (x + 3)(x + -3) + -5(8x) Reorder the terms: -4 + 5x + x2 = (3 + x)(x + -3) + -5(8x) Reorder the terms: -4 + 5x + x2 = (3 + x)(-3 + x) + -5(8x) Multiply (3 + x) * (-3 + x) -4 + 5x + x2 = (3(-3 + x) + x(-3 + x)) + -5(8x) -4 + 5x + x2 = ((-3 * 3 + x * 3) + x(-3 + x)) + -5(8x) -4 + 5x + x2 = ((-9 + 3x) + x(-3 + x)) + -5(8x) -4 + 5x + x2 = (-9 + 3x + (-3 * x + x * x)) + -5(8x) -4 + 5x + x2 = (-9 + 3x + (-3x + x2)) + -5(8x) Combine like terms: 3x + -3x = 0 -4 + 5x + x2 = (-9 + 0 + x2) + -5(8x) -4 + 5x + x2 = (-9 + x2) + -5(8x) Remove parenthesis around (8x) -4 + 5x + x2 = -9 + x2 + -5 * 8x Multiply -5 * 8 -4 + 5x + x2 = -9 + x2 + -40x Reorder the terms: -4 + 5x + x2 = -9 + -40x + x2 Add '-1x2' to each side of the equation. -4 + 5x + x2 + -1x2 = -9 + -40x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 5x + 0 = -9 + -40x + x2 + -1x2 -4 + 5x = -9 + -40x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 5x = -9 + -40x + 0 -4 + 5x = -9 + -40x Solving -4 + 5x = -9 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -4 + 5x + 40x = -9 + -40x + 40x Combine like terms: 5x + 40x = 45x -4 + 45x = -9 + -40x + 40x Combine like terms: -40x + 40x = 0 -4 + 45x = -9 + 0 -4 + 45x = -9 Add '4' to each side of the equation. -4 + 4 + 45x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 45x = -9 + 4 45x = -9 + 4 Combine like terms: -9 + 4 = -5 45x = -5 Divide each side by '45'. x = -0.1111111111 Simplifying x = -0.1111111111
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