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Simplifying 3x + 5(4x + -5) = 182 Reorder the terms: 3x + 5(-5 + 4x) = 182 3x + (-5 * 5 + 4x * 5) = 182 3x + (-25 + 20x) = 182 Reorder the terms: -25 + 3x + 20x = 182 Combine like terms: 3x + 20x = 23x -25 + 23x = 182 Solving -25 + 23x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 23x = 182 + 25 Combine like terms: -25 + 25 = 0 0 + 23x = 182 + 25 23x = 182 + 25 Combine like terms: 182 + 25 = 207 23x = 207 Divide each side by '23'. x = 9 Simplifying x = 9
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