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Simplifying x(2x + -6) = (2x + 2)(x + -2) Reorder the terms: x(-6 + 2x) = (2x + 2)(x + -2) (-6 * x + 2x * x) = (2x + 2)(x + -2) (-6x + 2x2) = (2x + 2)(x + -2) Reorder the terms: -6x + 2x2 = (2 + 2x)(x + -2) Reorder the terms: -6x + 2x2 = (2 + 2x)(-2 + x) Multiply (2 + 2x) * (-2 + x) -6x + 2x2 = (2(-2 + x) + 2x * (-2 + x)) -6x + 2x2 = ((-2 * 2 + x * 2) + 2x * (-2 + x)) -6x + 2x2 = ((-4 + 2x) + 2x * (-2 + x)) -6x + 2x2 = (-4 + 2x + (-2 * 2x + x * 2x)) -6x + 2x2 = (-4 + 2x + (-4x + 2x2)) Combine like terms: 2x + -4x = -2x -6x + 2x2 = (-4 + -2x + 2x2) Add '-2x2' to each side of the equation. -6x + 2x2 + -2x2 = -4 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 = -4 + -2x + 2x2 + -2x2 -6x = -4 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x = -4 + -2x + 0 -6x = -4 + -2x Solving -6x = -4 + -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. -6x + 2x = -4 + -2x + 2x Combine like terms: -6x + 2x = -4x -4x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -4x = -4 + 0 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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