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Simplifying x(2x + -8) = (2x + 8)(x + -6) Reorder the terms: x(-8 + 2x) = (2x + 8)(x + -6) (-8 * x + 2x * x) = (2x + 8)(x + -6) (-8x + 2x2) = (2x + 8)(x + -6) Reorder the terms: -8x + 2x2 = (8 + 2x)(x + -6) Reorder the terms: -8x + 2x2 = (8 + 2x)(-6 + x) Multiply (8 + 2x) * (-6 + x) -8x + 2x2 = (8(-6 + x) + 2x * (-6 + x)) -8x + 2x2 = ((-6 * 8 + x * 8) + 2x * (-6 + x)) -8x + 2x2 = ((-48 + 8x) + 2x * (-6 + x)) -8x + 2x2 = (-48 + 8x + (-6 * 2x + x * 2x)) -8x + 2x2 = (-48 + 8x + (-12x + 2x2)) Combine like terms: 8x + -12x = -4x -8x + 2x2 = (-48 + -4x + 2x2) Add '-2x2' to each side of the equation. -8x + 2x2 + -2x2 = -48 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + 0 = -48 + -4x + 2x2 + -2x2 -8x = -48 + -4x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x = -48 + -4x + 0 -8x = -48 + -4x Solving -8x = -48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8x + 4x = -48 + -4x + 4x Combine like terms: -8x + 4x = -4x -4x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 -4x = -48 + 0 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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