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Simplifying 5 + -1x(x + 3) = -1(x + 5)(x + 11) Reorder the terms: 5 + -1x(3 + x) = -1(x + 5)(x + 11) 5 + (3 * -1x + x * -1x) = -1(x + 5)(x + 11) 5 + (-3x + -1x2) = -1(x + 5)(x + 11) Reorder the terms: 5 + -3x + -1x2 = -1(5 + x)(x + 11) Reorder the terms: 5 + -3x + -1x2 = -1(5 + x)(11 + x) Multiply (5 + x) * (11 + x) 5 + -3x + -1x2 = -1(5(11 + x) + x(11 + x)) 5 + -3x + -1x2 = -1((11 * 5 + x * 5) + x(11 + x)) 5 + -3x + -1x2 = -1((55 + 5x) + x(11 + x)) 5 + -3x + -1x2 = -1(55 + 5x + (11 * x + x * x)) 5 + -3x + -1x2 = -1(55 + 5x + (11x + x2)) Combine like terms: 5x + 11x = 16x 5 + -3x + -1x2 = -1(55 + 16x + x2) 5 + -3x + -1x2 = (55 * -1 + 16x * -1 + x2 * -1) 5 + -3x + -1x2 = (-55 + -16x + -1x2) Add 'x2' to each side of the equation. 5 + -3x + -1x2 + x2 = -55 + -16x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + -3x + 0 = -55 + -16x + -1x2 + x2 5 + -3x = -55 + -16x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + -3x = -55 + -16x + 0 5 + -3x = -55 + -16x Solving 5 + -3x = -55 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 5 + -3x + 16x = -55 + -16x + 16x Combine like terms: -3x + 16x = 13x 5 + 13x = -55 + -16x + 16x Combine like terms: -16x + 16x = 0 5 + 13x = -55 + 0 5 + 13x = -55 Add '-5' to each side of the equation. 5 + -5 + 13x = -55 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = -55 + -5 13x = -55 + -5 Combine like terms: -55 + -5 = -60 13x = -60 Divide each side by '13'. x = -4.615384615 Simplifying x = -4.615384615
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