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Simplifying -5(1 + -5x) = 5(-8x + -2) (1 * -5 + -5x * -5) = 5(-8x + -2) (-5 + 25x) = 5(-8x + -2) Reorder the terms: -5 + 25x = 5(-2 + -8x) -5 + 25x = (-2 * 5 + -8x * 5) -5 + 25x = (-10 + -40x) Solving -5 + 25x = -10 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -5 + 25x + 40x = -10 + -40x + 40x Combine like terms: 25x + 40x = 65x -5 + 65x = -10 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 65x = -10 + 0 -5 + 65x = -10 Add '5' to each side of the equation. -5 + 5 + 65x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 65x = -10 + 5 65x = -10 + 5 Combine like terms: -10 + 5 = -5 65x = -5 Divide each side by '65'. x = -0.07692307692 Simplifying x = -0.07692307692
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