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Simplifying 6 + 8(1 + -8x) = 114 6 + (1 * 8 + -8x * 8) = 114 6 + (8 + -64x) = 114 Combine like terms: 6 + 8 = 14 14 + -64x = 114 Solving 14 + -64x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -64x = 114 + -14 Combine like terms: 14 + -14 = 0 0 + -64x = 114 + -14 -64x = 114 + -14 Combine like terms: 114 + -14 = 100 -64x = 100 Divide each side by '-64'. x = -1.5625 Simplifying x = -1.5625
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