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Simplifying x(8x + -8) = (8x + 4)(x + -3) Reorder the terms: x(-8 + 8x) = (8x + 4)(x + -3) (-8 * x + 8x * x) = (8x + 4)(x + -3) (-8x + 8x2) = (8x + 4)(x + -3) Reorder the terms: -8x + 8x2 = (4 + 8x)(x + -3) Reorder the terms: -8x + 8x2 = (4 + 8x)(-3 + x) Multiply (4 + 8x) * (-3 + x) -8x + 8x2 = (4(-3 + x) + 8x * (-3 + x)) -8x + 8x2 = ((-3 * 4 + x * 4) + 8x * (-3 + x)) -8x + 8x2 = ((-12 + 4x) + 8x * (-3 + x)) -8x + 8x2 = (-12 + 4x + (-3 * 8x + x * 8x)) -8x + 8x2 = (-12 + 4x + (-24x + 8x2)) Combine like terms: 4x + -24x = -20x -8x + 8x2 = (-12 + -20x + 8x2) Add '-8x2' to each side of the equation. -8x + 8x2 + -8x2 = -12 + -20x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x + 0 = -12 + -20x + 8x2 + -8x2 -8x = -12 + -20x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x = -12 + -20x + 0 -8x = -12 + -20x Solving -8x = -12 + -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. -8x + 20x = -12 + -20x + 20x Combine like terms: -8x + 20x = 12x 12x = -12 + -20x + 20x Combine like terms: -20x + 20x = 0 12x = -12 + 0 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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