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Simplifying x(2x + -4) = (2x + 6)(x + -4) Reorder the terms: x(-4 + 2x) = (2x + 6)(x + -4) (-4 * x + 2x * x) = (2x + 6)(x + -4) (-4x + 2x2) = (2x + 6)(x + -4) Reorder the terms: -4x + 2x2 = (6 + 2x)(x + -4) Reorder the terms: -4x + 2x2 = (6 + 2x)(-4 + x) Multiply (6 + 2x) * (-4 + x) -4x + 2x2 = (6(-4 + x) + 2x * (-4 + x)) -4x + 2x2 = ((-4 * 6 + x * 6) + 2x * (-4 + x)) -4x + 2x2 = ((-24 + 6x) + 2x * (-4 + x)) -4x + 2x2 = (-24 + 6x + (-4 * 2x + x * 2x)) -4x + 2x2 = (-24 + 6x + (-8x + 2x2)) Combine like terms: 6x + -8x = -2x -4x + 2x2 = (-24 + -2x + 2x2) Add '-2x2' to each side of the equation. -4x + 2x2 + -2x2 = -24 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x + 0 = -24 + -2x + 2x2 + -2x2 -4x = -24 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x = -24 + -2x + 0 -4x = -24 + -2x Solving -4x = -24 + -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. -4x + 2x = -24 + -2x + 2x Combine like terms: -4x + 2x = -2x -2x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -2x = -24 + 0 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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