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Simplifying x + -6(1 + -6x) = -35 + 8x x + (1 * -6 + -6x * -6) = -35 + 8x x + (-6 + 36x) = -35 + 8x Reorder the terms: -6 + x + 36x = -35 + 8x Combine like terms: x + 36x = 37x -6 + 37x = -35 + 8x Solving -6 + 37x = -35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 37x + -8x = -35 + 8x + -8x Combine like terms: 37x + -8x = 29x -6 + 29x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 29x = -35 + 0 -6 + 29x = -35 Add '6' to each side of the equation. -6 + 6 + 29x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + 29x = -35 + 6 29x = -35 + 6 Combine like terms: -35 + 6 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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