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Simplifying (4x + 1)(2x + -3) + -8x2 = 17 + -5x Reorder the terms: (1 + 4x)(2x + -3) + -8x2 = 17 + -5x Reorder the terms: (1 + 4x)(-3 + 2x) + -8x2 = 17 + -5x Multiply (1 + 4x) * (-3 + 2x) (1(-3 + 2x) + 4x * (-3 + 2x)) + -8x2 = 17 + -5x ((-3 * 1 + 2x * 1) + 4x * (-3 + 2x)) + -8x2 = 17 + -5x ((-3 + 2x) + 4x * (-3 + 2x)) + -8x2 = 17 + -5x (-3 + 2x + (-3 * 4x + 2x * 4x)) + -8x2 = 17 + -5x (-3 + 2x + (-12x + 8x2)) + -8x2 = 17 + -5x Combine like terms: 2x + -12x = -10x (-3 + -10x + 8x2) + -8x2 = 17 + -5x Combine like terms: 8x2 + -8x2 = 0 -3 + -10x + 0 = 17 + -5x -3 + -10x = 17 + -5x Solving -3 + -10x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -10x + 5x = 17 + -5x + 5x Combine like terms: -10x + 5x = -5x -3 + -5x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + -5x = 17 + 0 -3 + -5x = 17 Add '3' to each side of the equation. -3 + 3 + -5x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 17 + 3 -5x = 17 + 3 Combine like terms: 17 + 3 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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