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Simplifying (4x + 8)(2x + -3) = 8x2 + -11 Reorder the terms: (8 + 4x)(2x + -3) = 8x2 + -11 Reorder the terms: (8 + 4x)(-3 + 2x) = 8x2 + -11 Multiply (8 + 4x) * (-3 + 2x) (8(-3 + 2x) + 4x * (-3 + 2x)) = 8x2 + -11 ((-3 * 8 + 2x * 8) + 4x * (-3 + 2x)) = 8x2 + -11 ((-24 + 16x) + 4x * (-3 + 2x)) = 8x2 + -11 (-24 + 16x + (-3 * 4x + 2x * 4x)) = 8x2 + -11 (-24 + 16x + (-12x + 8x2)) = 8x2 + -11 Combine like terms: 16x + -12x = 4x (-24 + 4x + 8x2) = 8x2 + -11 Reorder the terms: -24 + 4x + 8x2 = -11 + 8x2 Add '-8x2' to each side of the equation. -24 + 4x + 8x2 + -8x2 = -11 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24 + 4x + 0 = -11 + 8x2 + -8x2 -24 + 4x = -11 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24 + 4x = -11 + 0 -24 + 4x = -11 Solving -24 + 4x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4x = -11 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -11 + 24 4x = -11 + 24 Combine like terms: -11 + 24 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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