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Simplifying (x + -1)(2x + 5) = (2x + 3)(x + -4) Reorder the terms: (-1 + x)(2x + 5) = (2x + 3)(x + -4) Reorder the terms: (-1 + x)(5 + 2x) = (2x + 3)(x + -4) Multiply (-1 + x) * (5 + 2x) (-1(5 + 2x) + x(5 + 2x)) = (2x + 3)(x + -4) ((5 * -1 + 2x * -1) + x(5 + 2x)) = (2x + 3)(x + -4) ((-5 + -2x) + x(5 + 2x)) = (2x + 3)(x + -4) (-5 + -2x + (5 * x + 2x * x)) = (2x + 3)(x + -4) (-5 + -2x + (5x + 2x2)) = (2x + 3)(x + -4) Combine like terms: -2x + 5x = 3x (-5 + 3x + 2x2) = (2x + 3)(x + -4) Reorder the terms: -5 + 3x + 2x2 = (3 + 2x)(x + -4) Reorder the terms: -5 + 3x + 2x2 = (3 + 2x)(-4 + x) Multiply (3 + 2x) * (-4 + x) -5 + 3x + 2x2 = (3(-4 + x) + 2x * (-4 + x)) -5 + 3x + 2x2 = ((-4 * 3 + x * 3) + 2x * (-4 + x)) -5 + 3x + 2x2 = ((-12 + 3x) + 2x * (-4 + x)) -5 + 3x + 2x2 = (-12 + 3x + (-4 * 2x + x * 2x)) -5 + 3x + 2x2 = (-12 + 3x + (-8x + 2x2)) Combine like terms: 3x + -8x = -5x -5 + 3x + 2x2 = (-12 + -5x + 2x2) Add '-2x2' to each side of the equation. -5 + 3x + 2x2 + -2x2 = -12 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 3x + 0 = -12 + -5x + 2x2 + -2x2 -5 + 3x = -12 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 3x = -12 + -5x + 0 -5 + 3x = -12 + -5x Solving -5 + 3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 3x + 5x = -12 + -5x + 5x Combine like terms: 3x + 5x = 8x -5 + 8x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 8x = -12 + 0 -5 + 8x = -12 Add '5' to each side of the equation. -5 + 5 + 8x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -12 + 5 8x = -12 + 5 Combine like terms: -12 + 5 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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