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