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Simplifying x(3x + -2) = (3x + 8)(x + -5) Reorder the terms: x(-2 + 3x) = (3x + 8)(x + -5) (-2 * x + 3x * x) = (3x + 8)(x + -5) (-2x + 3x2) = (3x + 8)(x + -5) Reorder the terms: -2x + 3x2 = (8 + 3x)(x + -5) Reorder the terms: -2x + 3x2 = (8 + 3x)(-5 + x) Multiply (8 + 3x) * (-5 + x) -2x + 3x2 = (8(-5 + x) + 3x * (-5 + x)) -2x + 3x2 = ((-5 * 8 + x * 8) + 3x * (-5 + x)) -2x + 3x2 = ((-40 + 8x) + 3x * (-5 + x)) -2x + 3x2 = (-40 + 8x + (-5 * 3x + x * 3x)) -2x + 3x2 = (-40 + 8x + (-15x + 3x2)) Combine like terms: 8x + -15x = -7x -2x + 3x2 = (-40 + -7x + 3x2) Add '-3x2' to each side of the equation. -2x + 3x2 + -3x2 = -40 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2x + 0 = -40 + -7x + 3x2 + -3x2 -2x = -40 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2x = -40 + -7x + 0 -2x = -40 + -7x Solving -2x = -40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2x + 7x = -40 + -7x + 7x Combine like terms: -2x + 7x = 5x 5x = -40 + -7x + 7x Combine like terms: -7x + 7x = 0 5x = -40 + 0 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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