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Simplifying x(2x + -6) = (2x + 2)(x + -5) Reorder the terms: x(-6 + 2x) = (2x + 2)(x + -5) (-6 * x + 2x * x) = (2x + 2)(x + -5) (-6x + 2x2) = (2x + 2)(x + -5) Reorder the terms: -6x + 2x2 = (2 + 2x)(x + -5) Reorder the terms: -6x + 2x2 = (2 + 2x)(-5 + x) Multiply (2 + 2x) * (-5 + x) -6x + 2x2 = (2(-5 + x) + 2x * (-5 + x)) -6x + 2x2 = ((-5 * 2 + x * 2) + 2x * (-5 + x)) -6x + 2x2 = ((-10 + 2x) + 2x * (-5 + x)) -6x + 2x2 = (-10 + 2x + (-5 * 2x + x * 2x)) -6x + 2x2 = (-10 + 2x + (-10x + 2x2)) Combine like terms: 2x + -10x = -8x -6x + 2x2 = (-10 + -8x + 2x2) Add '-2x2' to each side of the equation. -6x + 2x2 + -2x2 = -10 + -8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 = -10 + -8x + 2x2 + -2x2 -6x = -10 + -8x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x = -10 + -8x + 0 -6x = -10 + -8x Solving -6x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6x + 8x = -10 + -8x + 8x Combine like terms: -6x + 8x = 2x 2x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 2x = -10 + 0 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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