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Simplifying -5(5x + 9) = -10(5x + 7) Reorder the terms: -5(9 + 5x) = -10(5x + 7) (9 * -5 + 5x * -5) = -10(5x + 7) (-45 + -25x) = -10(5x + 7) Reorder the terms: -45 + -25x = -10(7 + 5x) -45 + -25x = (7 * -10 + 5x * -10) -45 + -25x = (-70 + -50x) Solving -45 + -25x = -70 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -45 + -25x + 50x = -70 + -50x + 50x Combine like terms: -25x + 50x = 25x -45 + 25x = -70 + -50x + 50x Combine like terms: -50x + 50x = 0 -45 + 25x = -70 + 0 -45 + 25x = -70 Add '45' to each side of the equation. -45 + 45 + 25x = -70 + 45 Combine like terms: -45 + 45 = 0 0 + 25x = -70 + 45 25x = -70 + 45 Combine like terms: -70 + 45 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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