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Simplifying (x + -1)(x + 2) + -1(x + -3)(x + -5) = 2x Reorder the terms: (-1 + x)(x + 2) + -1(x + -3)(x + -5) = 2x Reorder the terms: (-1 + x)(2 + x) + -1(x + -3)(x + -5) = 2x Multiply (-1 + x) * (2 + x) (-1(2 + x) + x(2 + x)) + -1(x + -3)(x + -5) = 2x ((2 * -1 + x * -1) + x(2 + x)) + -1(x + -3)(x + -5) = 2x ((-2 + -1x) + x(2 + x)) + -1(x + -3)(x + -5) = 2x (-2 + -1x + (2 * x + x * x)) + -1(x + -3)(x + -5) = 2x (-2 + -1x + (2x + x2)) + -1(x + -3)(x + -5) = 2x Combine like terms: -1x + 2x = 1x (-2 + 1x + x2) + -1(x + -3)(x + -5) = 2x Reorder the terms: -2 + 1x + x2 + -1(-3 + x)(x + -5) = 2x Reorder the terms: -2 + 1x + x2 + -1(-3 + x)(-5 + x) = 2x Multiply (-3 + x) * (-5 + x) -2 + 1x + x2 + -1(-3(-5 + x) + x(-5 + x)) = 2x -2 + 1x + x2 + -1((-5 * -3 + x * -3) + x(-5 + x)) = 2x -2 + 1x + x2 + -1((15 + -3x) + x(-5 + x)) = 2x -2 + 1x + x2 + -1(15 + -3x + (-5 * x + x * x)) = 2x -2 + 1x + x2 + -1(15 + -3x + (-5x + x2)) = 2x Combine like terms: -3x + -5x = -8x -2 + 1x + x2 + -1(15 + -8x + x2) = 2x -2 + 1x + x2 + (15 * -1 + -8x * -1 + x2 * -1) = 2x -2 + 1x + x2 + (-15 + 8x + -1x2) = 2x Reorder the terms: -2 + -15 + 1x + 8x + x2 + -1x2 = 2x Combine like terms: -2 + -15 = -17 -17 + 1x + 8x + x2 + -1x2 = 2x Combine like terms: 1x + 8x = 9x -17 + 9x + x2 + -1x2 = 2x Combine like terms: x2 + -1x2 = 0 -17 + 9x + 0 = 2x -17 + 9x = 2x Solving -17 + 9x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 9x + -2x = 2x + -2x Combine like terms: 9x + -2x = 7x -17 + 7x = 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 7x = 0 Add '17' to each side of the equation. -17 + 17 + 7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 0 + 17 7x = 0 + 17 Combine like terms: 0 + 17 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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