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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 = 14x -4x + 2x2 = (24 + 14x + 2x2) Add '-2x2' to each side of the equation. -4x + 2x2 + -2x2 = 24 + 14x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x + 0 = 24 + 14x + 2x2 + -2x2 -4x = 24 + 14x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x = 24 + 14x + 0 -4x = 24 + 14x Solving -4x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4x + -14x = 24 + 14x + -14x Combine like terms: -4x + -14x = -18x -18x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 -18x = 24 + 0 -18x = 24 Divide each side by '-18'. x = -1.333333333 Simplifying x = -1.333333333
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