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Simplifying x(3x + -4) + x(2x + -3) = (5x + 8)(x + -5) Reorder the terms: x(-4 + 3x) + x(2x + -3) = (5x + 8)(x + -5) (-4 * x + 3x * x) + x(2x + -3) = (5x + 8)(x + -5) (-4x + 3x2) + x(2x + -3) = (5x + 8)(x + -5) Reorder the terms: -4x + 3x2 + x(-3 + 2x) = (5x + 8)(x + -5) -4x + 3x2 + (-3 * x + 2x * x) = (5x + 8)(x + -5) -4x + 3x2 + (-3x + 2x2) = (5x + 8)(x + -5) Reorder the terms: -4x + -3x + 3x2 + 2x2 = (5x + 8)(x + -5) Combine like terms: -4x + -3x = -7x -7x + 3x2 + 2x2 = (5x + 8)(x + -5) Combine like terms: 3x2 + 2x2 = 5x2 -7x + 5x2 = (5x + 8)(x + -5) Reorder the terms: -7x + 5x2 = (8 + 5x)(x + -5) Reorder the terms: -7x + 5x2 = (8 + 5x)(-5 + x) Multiply (8 + 5x) * (-5 + x) -7x + 5x2 = (8(-5 + x) + 5x * (-5 + x)) -7x + 5x2 = ((-5 * 8 + x * 8) + 5x * (-5 + x)) -7x + 5x2 = ((-40 + 8x) + 5x * (-5 + x)) -7x + 5x2 = (-40 + 8x + (-5 * 5x + x * 5x)) -7x + 5x2 = (-40 + 8x + (-25x + 5x2)) Combine like terms: 8x + -25x = -17x -7x + 5x2 = (-40 + -17x + 5x2) Add '-5x2' to each side of the equation. -7x + 5x2 + -5x2 = -40 + -17x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7x + 0 = -40 + -17x + 5x2 + -5x2 -7x = -40 + -17x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7x = -40 + -17x + 0 -7x = -40 + -17x Solving -7x = -40 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -7x + 17x = -40 + -17x + 17x Combine like terms: -7x + 17x = 10x 10x = -40 + -17x + 17x Combine like terms: -17x + 17x = 0 10x = -40 + 0 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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