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Simplifying 5(-5x + 9) = 5(7x + 3) Reorder the terms: 5(9 + -5x) = 5(7x + 3) (9 * 5 + -5x * 5) = 5(7x + 3) (45 + -25x) = 5(7x + 3) Reorder the terms: 45 + -25x = 5(3 + 7x) 45 + -25x = (3 * 5 + 7x * 5) 45 + -25x = (15 + 35x) Solving 45 + -25x = 15 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 45 + -25x + -35x = 15 + 35x + -35x Combine like terms: -25x + -35x = -60x 45 + -60x = 15 + 35x + -35x Combine like terms: 35x + -35x = 0 45 + -60x = 15 + 0 45 + -60x = 15 Add '-45' to each side of the equation. 45 + -45 + -60x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -60x = 15 + -45 -60x = 15 + -45 Combine like terms: 15 + -45 = -30 -60x = -30 Divide each side by '-60'. x = 0.5 Simplifying x = 0.5
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