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Simplifying ((((1 + -8x) * 4) * 8 + -1) * 8 + 1) * 8 + 1 = 1993 Reorder the terms for easier multiplication: (((4(1 + -8x)) * 8 + -1) * 8 + 1) * 8 + 1 = 1993 ((((1 * 4 + -8x * 4)) * 8 + -1) * 8 + 1) * 8 + 1 = 1993 ((((4 + -32x)) * 8 + -1) * 8 + 1) * 8 + 1 = 1993 Reorder the terms for easier multiplication: ((8(4 + -32x) + -1) * 8 + 1) * 8 + 1 = 1993 (((4 * 8 + -32x * 8) + -1) * 8 + 1) * 8 + 1 = 1993 (((32 + -256x) + -1) * 8 + 1) * 8 + 1 = 1993 Reorder the terms: ((32 + -1 + -256x) * 8 + 1) * 8 + 1 = 1993 Combine like terms: 32 + -1 = 31 ((31 + -256x) * 8 + 1) * 8 + 1 = 1993 Reorder the terms for easier multiplication: (8(31 + -256x) + 1) * 8 + 1 = 1993 ((31 * 8 + -256x * 8) + 1) * 8 + 1 = 1993 ((248 + -2048x) + 1) * 8 + 1 = 1993 Reorder the terms: (248 + 1 + -2048x) * 8 + 1 = 1993 Combine like terms: 248 + 1 = 249 (249 + -2048x) * 8 + 1 = 1993 Reorder the terms for easier multiplication: 8(249 + -2048x) + 1 = 1993 (249 * 8 + -2048x * 8) + 1 = 1993 (1992 + -16384x) + 1 = 1993 Reorder the terms: 1992 + 1 + -16384x = 1993 Combine like terms: 1992 + 1 = 1993 1993 + -16384x = 1993 Add '-1993' to each side of the equation. 1993 + -1993 + -16384x = 1993 + -1993 Combine like terms: 1993 + -1993 = 0 0 + -16384x = 1993 + -1993 -16384x = 1993 + -1993 Combine like terms: 1993 + -1993 = 0 -16384x = 0 Solving -16384x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-16384'. x = 0 Simplifying x = 0
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