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Simplifying 5x(x + 8) + -7(x + -4) = 5(x + 8)(x + -4) Reorder the terms: 5x(8 + x) + -7(x + -4) = 5(x + 8)(x + -4) (8 * 5x + x * 5x) + -7(x + -4) = 5(x + 8)(x + -4) (40x + 5x2) + -7(x + -4) = 5(x + 8)(x + -4) Reorder the terms: 40x + 5x2 + -7(-4 + x) = 5(x + 8)(x + -4) 40x + 5x2 + (-4 * -7 + x * -7) = 5(x + 8)(x + -4) 40x + 5x2 + (28 + -7x) = 5(x + 8)(x + -4) Reorder the terms: 28 + 40x + -7x + 5x2 = 5(x + 8)(x + -4) Combine like terms: 40x + -7x = 33x 28 + 33x + 5x2 = 5(x + 8)(x + -4) Reorder the terms: 28 + 33x + 5x2 = 5(8 + x)(x + -4) Reorder the terms: 28 + 33x + 5x2 = 5(8 + x)(-4 + x) Multiply (8 + x) * (-4 + x) 28 + 33x + 5x2 = 5(8(-4 + x) + x(-4 + x)) 28 + 33x + 5x2 = 5((-4 * 8 + x * 8) + x(-4 + x)) 28 + 33x + 5x2 = 5((-32 + 8x) + x(-4 + x)) 28 + 33x + 5x2 = 5(-32 + 8x + (-4 * x + x * x)) 28 + 33x + 5x2 = 5(-32 + 8x + (-4x + x2)) Combine like terms: 8x + -4x = 4x 28 + 33x + 5x2 = 5(-32 + 4x + x2) 28 + 33x + 5x2 = (-32 * 5 + 4x * 5 + x2 * 5) 28 + 33x + 5x2 = (-160 + 20x + 5x2) Add '-5x2' to each side of the equation. 28 + 33x + 5x2 + -5x2 = -160 + 20x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 28 + 33x + 0 = -160 + 20x + 5x2 + -5x2 28 + 33x = -160 + 20x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 28 + 33x = -160 + 20x + 0 28 + 33x = -160 + 20x Solving 28 + 33x = -160 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 28 + 33x + -20x = -160 + 20x + -20x Combine like terms: 33x + -20x = 13x 28 + 13x = -160 + 20x + -20x Combine like terms: 20x + -20x = 0 28 + 13x = -160 + 0 28 + 13x = -160 Add '-28' to each side of the equation. 28 + -28 + 13x = -160 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = -160 + -28 13x = -160 + -28 Combine like terms: -160 + -28 = -188 13x = -188 Divide each side by '13'. x = -14.46153846 Simplifying x = -14.46153846
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