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Simplifying x(4x + -7) = (4x + 5)(x + -8) Reorder the terms: x(-7 + 4x) = (4x + 5)(x + -8) (-7 * x + 4x * x) = (4x + 5)(x + -8) (-7x + 4x2) = (4x + 5)(x + -8) Reorder the terms: -7x + 4x2 = (5 + 4x)(x + -8) Reorder the terms: -7x + 4x2 = (5 + 4x)(-8 + x) Multiply (5 + 4x) * (-8 + x) -7x + 4x2 = (5(-8 + x) + 4x * (-8 + x)) -7x + 4x2 = ((-8 * 5 + x * 5) + 4x * (-8 + x)) -7x + 4x2 = ((-40 + 5x) + 4x * (-8 + x)) -7x + 4x2 = (-40 + 5x + (-8 * 4x + x * 4x)) -7x + 4x2 = (-40 + 5x + (-32x + 4x2)) Combine like terms: 5x + -32x = -27x -7x + 4x2 = (-40 + -27x + 4x2) Add '-4x2' to each side of the equation. -7x + 4x2 + -4x2 = -40 + -27x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x + 0 = -40 + -27x + 4x2 + -4x2 -7x = -40 + -27x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x = -40 + -27x + 0 -7x = -40 + -27x Solving -7x = -40 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -7x + 27x = -40 + -27x + 27x Combine like terms: -7x + 27x = 20x 20x = -40 + -27x + 27x Combine like terms: -27x + 27x = 0 20x = -40 + 0 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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