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Simplifying -5(5 + -7x) = 8 + -1(4x + 6) (5 * -5 + -7x * -5) = 8 + -1(4x + 6) (-25 + 35x) = 8 + -1(4x + 6) Reorder the terms: -25 + 35x = 8 + -1(6 + 4x) -25 + 35x = 8 + (6 * -1 + 4x * -1) -25 + 35x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 -25 + 35x = 2 + -4x Solving -25 + 35x = 2 + -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. -25 + 35x + 4x = 2 + -4x + 4x Combine like terms: 35x + 4x = 39x -25 + 39x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -25 + 39x = 2 + 0 -25 + 39x = 2 Add '25' to each side of the equation. -25 + 25 + 39x = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 39x = 2 + 25 39x = 2 + 25 Combine like terms: 2 + 25 = 27 39x = 27 Divide each side by '39'. x = 0.6923076923 Simplifying x = 0.6923076923
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