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Simplifying 5(5x + 9) = 5(-2x + -1) Reorder the terms: 5(9 + 5x) = 5(-2x + -1) (9 * 5 + 5x * 5) = 5(-2x + -1) (45 + 25x) = 5(-2x + -1) Reorder the terms: 45 + 25x = 5(-1 + -2x) 45 + 25x = (-1 * 5 + -2x * 5) 45 + 25x = (-5 + -10x) Solving 45 + 25x = -5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 45 + 25x + 10x = -5 + -10x + 10x Combine like terms: 25x + 10x = 35x 45 + 35x = -5 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + 35x = -5 + 0 45 + 35x = -5 Add '-45' to each side of the equation. 45 + -45 + 35x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + 35x = -5 + -45 35x = -5 + -45 Combine like terms: -5 + -45 = -50 35x = -50 Divide each side by '35'. x = -1.428571429 Simplifying x = -1.428571429
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