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Simplifying 8(8(x + 8) + -8x) + 8 = 8(128 + -8x) + 8 Reorder the terms: 8(8(8 + x) + -8x) + 8 = 8(128 + -8x) + 8 8((8 * 8 + x * 8) + -8x) + 8 = 8(128 + -8x) + 8 8((64 + 8x) + -8x) + 8 = 8(128 + -8x) + 8 Combine like terms: 8x + -8x = 0 8(64 + 0) + 8 = 8(128 + -8x) + 8 8(64) + 8 = 8(128 + -8x) + 8 Multiply 8 * 64 512 + 8 = 8(128 + -8x) + 8 Combine like terms: 512 + 8 = 520 520 = 8(128 + -8x) + 8 520 = (128 * 8 + -8x * 8) + 8 520 = (1024 + -64x) + 8 Reorder the terms: 520 = 1024 + 8 + -64x Combine like terms: 1024 + 8 = 1032 520 = 1032 + -64x Solving 520 = 1032 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 520 + 64x = 1032 + -64x + 64x Combine like terms: -64x + 64x = 0 520 + 64x = 1032 + 0 520 + 64x = 1032 Add '-520' to each side of the equation. 520 + -520 + 64x = 1032 + -520 Combine like terms: 520 + -520 = 0 0 + 64x = 1032 + -520 64x = 1032 + -520 Combine like terms: 1032 + -520 = 512 64x = 512 Divide each side by '64'. x = 8 Simplifying x = 8
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