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Simplifying -6(1 + -7x) = -8(x + 7) (1 * -6 + -7x * -6) = -8(x + 7) (-6 + 42x) = -8(x + 7) Reorder the terms: -6 + 42x = -8(7 + x) -6 + 42x = (7 * -8 + x * -8) -6 + 42x = (-56 + -8x) Solving -6 + 42x = -56 + -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 + 42x + 8x = -56 + -8x + 8x Combine like terms: 42x + 8x = 50x -6 + 50x = -56 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 50x = -56 + 0 -6 + 50x = -56 Add '6' to each side of the equation. -6 + 6 + 50x = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 50x = -56 + 6 50x = -56 + 6 Combine like terms: -56 + 6 = -50 50x = -50 Divide each side by '50'. x = -1 Simplifying x = -1
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