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Simplifying x(2x + -6) = (2x + 4)(x + -4) Reorder the terms: x(-6 + 2x) = (2x + 4)(x + -4) (-6 * x + 2x * x) = (2x + 4)(x + -4) (-6x + 2x2) = (2x + 4)(x + -4) Reorder the terms: -6x + 2x2 = (4 + 2x)(x + -4) Reorder the terms: -6x + 2x2 = (4 + 2x)(-4 + x) Multiply (4 + 2x) * (-4 + x) -6x + 2x2 = (4(-4 + x) + 2x * (-4 + x)) -6x + 2x2 = ((-4 * 4 + x * 4) + 2x * (-4 + x)) -6x + 2x2 = ((-16 + 4x) + 2x * (-4 + x)) -6x + 2x2 = (-16 + 4x + (-4 * 2x + x * 2x)) -6x + 2x2 = (-16 + 4x + (-8x + 2x2)) Combine like terms: 4x + -8x = -4x -6x + 2x2 = (-16 + -4x + 2x2) Add '-2x2' to each side of the equation. -6x + 2x2 + -2x2 = -16 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x + 0 = -16 + -4x + 2x2 + -2x2 -6x = -16 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6x = -16 + -4x + 0 -6x = -16 + -4x Solving -6x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6x + 4x = -16 + -4x + 4x Combine like terms: -6x + 4x = -2x -2x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -2x = -16 + 0 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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