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Simplifying x(2x + -3) = (2x + 8)(x + -5) Reorder the terms: x(-3 + 2x) = (2x + 8)(x + -5) (-3 * x + 2x * x) = (2x + 8)(x + -5) (-3x + 2x2) = (2x + 8)(x + -5) Reorder the terms: -3x + 2x2 = (8 + 2x)(x + -5) Reorder the terms: -3x + 2x2 = (8 + 2x)(-5 + x) Multiply (8 + 2x) * (-5 + x) -3x + 2x2 = (8(-5 + x) + 2x * (-5 + x)) -3x + 2x2 = ((-5 * 8 + x * 8) + 2x * (-5 + x)) -3x + 2x2 = ((-40 + 8x) + 2x * (-5 + x)) -3x + 2x2 = (-40 + 8x + (-5 * 2x + x * 2x)) -3x + 2x2 = (-40 + 8x + (-10x + 2x2)) Combine like terms: 8x + -10x = -2x -3x + 2x2 = (-40 + -2x + 2x2) Add '-2x2' to each side of the equation. -3x + 2x2 + -2x2 = -40 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3x + 0 = -40 + -2x + 2x2 + -2x2 -3x = -40 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3x = -40 + -2x + 0 -3x = -40 + -2x Solving -3x = -40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3x + 2x = -40 + -2x + 2x Combine like terms: -3x + 2x = -1x -1x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 -1x = -40 + 0 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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