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Simplifying 9(4x + -5) = 5(5x + 2) Reorder the terms: 9(-5 + 4x) = 5(5x + 2) (-5 * 9 + 4x * 9) = 5(5x + 2) (-45 + 36x) = 5(5x + 2) Reorder the terms: -45 + 36x = 5(2 + 5x) -45 + 36x = (2 * 5 + 5x * 5) -45 + 36x = (10 + 25x) Solving -45 + 36x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -45 + 36x + -25x = 10 + 25x + -25x Combine like terms: 36x + -25x = 11x -45 + 11x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 -45 + 11x = 10 + 0 -45 + 11x = 10 Add '45' to each side of the equation. -45 + 45 + 11x = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = 10 + 45 11x = 10 + 45 Combine like terms: 10 + 45 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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