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Simplifying 9(5x + 9) + 4 = 8(5x + -5) Reorder the terms: 9(9 + 5x) + 4 = 8(5x + -5) (9 * 9 + 5x * 9) + 4 = 8(5x + -5) (81 + 45x) + 4 = 8(5x + -5) Reorder the terms: 81 + 4 + 45x = 8(5x + -5) Combine like terms: 81 + 4 = 85 85 + 45x = 8(5x + -5) Reorder the terms: 85 + 45x = 8(-5 + 5x) 85 + 45x = (-5 * 8 + 5x * 8) 85 + 45x = (-40 + 40x) Solving 85 + 45x = -40 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 85 + 45x + -40x = -40 + 40x + -40x Combine like terms: 45x + -40x = 5x 85 + 5x = -40 + 40x + -40x Combine like terms: 40x + -40x = 0 85 + 5x = -40 + 0 85 + 5x = -40 Add '-85' to each side of the equation. 85 + -85 + 5x = -40 + -85 Combine like terms: 85 + -85 = 0 0 + 5x = -40 + -85 5x = -40 + -85 Combine like terms: -40 + -85 = -125 5x = -125 Divide each side by '5'. x = -25 Simplifying x = -25
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