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Simplifying x(3x + -4) = (3x + 4)(x + -8) Reorder the terms: x(-4 + 3x) = (3x + 4)(x + -8) (-4 * x + 3x * x) = (3x + 4)(x + -8) (-4x + 3x2) = (3x + 4)(x + -8) Reorder the terms: -4x + 3x2 = (4 + 3x)(x + -8) Reorder the terms: -4x + 3x2 = (4 + 3x)(-8 + x) Multiply (4 + 3x) * (-8 + x) -4x + 3x2 = (4(-8 + x) + 3x * (-8 + x)) -4x + 3x2 = ((-8 * 4 + x * 4) + 3x * (-8 + x)) -4x + 3x2 = ((-32 + 4x) + 3x * (-8 + x)) -4x + 3x2 = (-32 + 4x + (-8 * 3x + x * 3x)) -4x + 3x2 = (-32 + 4x + (-24x + 3x2)) Combine like terms: 4x + -24x = -20x -4x + 3x2 = (-32 + -20x + 3x2) Add '-3x2' to each side of the equation. -4x + 3x2 + -3x2 = -32 + -20x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x + 0 = -32 + -20x + 3x2 + -3x2 -4x = -32 + -20x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x = -32 + -20x + 0 -4x = -32 + -20x Solving -4x = -32 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -4x + 20x = -32 + -20x + 20x Combine like terms: -4x + 20x = 16x 16x = -32 + -20x + 20x Combine like terms: -20x + 20x = 0 16x = -32 + 0 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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