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Simplifying x(2x + -4) = (2x + 8)(x + -3) Reorder the terms: x(-4 + 2x) = (2x + 8)(x + -3) (-4 * x + 2x * x) = (2x + 8)(x + -3) (-4x + 2x2) = (2x + 8)(x + -3) Reorder the terms: -4x + 2x2 = (8 + 2x)(x + -3) Reorder the terms: -4x + 2x2 = (8 + 2x)(-3 + x) Multiply (8 + 2x) * (-3 + x) -4x + 2x2 = (8(-3 + x) + 2x * (-3 + x)) -4x + 2x2 = ((-3 * 8 + x * 8) + 2x * (-3 + x)) -4x + 2x2 = ((-24 + 8x) + 2x * (-3 + x)) -4x + 2x2 = (-24 + 8x + (-3 * 2x + x * 2x)) -4x + 2x2 = (-24 + 8x + (-6x + 2x2)) Combine like terms: 8x + -6x = 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 = -6x -6x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -6x = -24 + 0 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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