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Simplifying x(6x + -2) = (6x + 8)(x + -5) Reorder the terms: x(-2 + 6x) = (6x + 8)(x + -5) (-2 * x + 6x * x) = (6x + 8)(x + -5) (-2x + 6x2) = (6x + 8)(x + -5) Reorder the terms: -2x + 6x2 = (8 + 6x)(x + -5) Reorder the terms: -2x + 6x2 = (8 + 6x)(-5 + x) Multiply (8 + 6x) * (-5 + x) -2x + 6x2 = (8(-5 + x) + 6x * (-5 + x)) -2x + 6x2 = ((-5 * 8 + x * 8) + 6x * (-5 + x)) -2x + 6x2 = ((-40 + 8x) + 6x * (-5 + x)) -2x + 6x2 = (-40 + 8x + (-5 * 6x + x * 6x)) -2x + 6x2 = (-40 + 8x + (-30x + 6x2)) Combine like terms: 8x + -30x = -22x -2x + 6x2 = (-40 + -22x + 6x2) Add '-6x2' to each side of the equation. -2x + 6x2 + -6x2 = -40 + -22x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x + 0 = -40 + -22x + 6x2 + -6x2 -2x = -40 + -22x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x = -40 + -22x + 0 -2x = -40 + -22x Solving -2x = -40 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -2x + 22x = -40 + -22x + 22x Combine like terms: -2x + 22x = 20x 20x = -40 + -22x + 22x Combine like terms: -22x + 22x = 0 20x = -40 + 0 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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