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Simplifying -10(-5x + -1) = 9(2 + 5x) Reorder the terms: -10(-1 + -5x) = 9(2 + 5x) (-1 * -10 + -5x * -10) = 9(2 + 5x) (10 + 50x) = 9(2 + 5x) 10 + 50x = (2 * 9 + 5x * 9) 10 + 50x = (18 + 45x) Solving 10 + 50x = 18 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 10 + 50x + -45x = 18 + 45x + -45x Combine like terms: 50x + -45x = 5x 10 + 5x = 18 + 45x + -45x Combine like terms: 45x + -45x = 0 10 + 5x = 18 + 0 10 + 5x = 18 Add '-10' to each side of the equation. 10 + -10 + 5x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 18 + -10 5x = 18 + -10 Combine like terms: 18 + -10 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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