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Simplifying (2x + 9)(4x + -3) = 8x2 + -13 Reorder the terms: (9 + 2x)(4x + -3) = 8x2 + -13 Reorder the terms: (9 + 2x)(-3 + 4x) = 8x2 + -13 Multiply (9 + 2x) * (-3 + 4x) (9(-3 + 4x) + 2x * (-3 + 4x)) = 8x2 + -13 ((-3 * 9 + 4x * 9) + 2x * (-3 + 4x)) = 8x2 + -13 ((-27 + 36x) + 2x * (-3 + 4x)) = 8x2 + -13 (-27 + 36x + (-3 * 2x + 4x * 2x)) = 8x2 + -13 (-27 + 36x + (-6x + 8x2)) = 8x2 + -13 Combine like terms: 36x + -6x = 30x (-27 + 30x + 8x2) = 8x2 + -13 Reorder the terms: -27 + 30x + 8x2 = -13 + 8x2 Add '-8x2' to each side of the equation. -27 + 30x + 8x2 + -8x2 = -13 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -27 + 30x + 0 = -13 + 8x2 + -8x2 -27 + 30x = -13 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -27 + 30x = -13 + 0 -27 + 30x = -13 Solving -27 + 30x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 30x = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 30x = -13 + 27 30x = -13 + 27 Combine like terms: -13 + 27 = 14 30x = 14 Divide each side by '30'. x = 0.4666666667 Simplifying x = 0.4666666667
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