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Simplifying -1(1 + 8x) = 35 + 4x (1 * -1 + 8x * -1) = 35 + 4x (-1 + -8x) = 35 + 4x Solving -1 + -8x = 35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -8x + -4x = 35 + 4x + -4x Combine like terms: -8x + -4x = -12x -1 + -12x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -12x = 35 + 0 -1 + -12x = 35 Add '1' to each side of the equation. -1 + 1 + -12x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 35 + 1 -12x = 35 + 1 Combine like terms: 35 + 1 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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