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Simplifying 4x + 5(2x + -9) = 81 Reorder the terms: 4x + 5(-9 + 2x) = 81 4x + (-9 * 5 + 2x * 5) = 81 4x + (-45 + 10x) = 81 Reorder the terms: -45 + 4x + 10x = 81 Combine like terms: 4x + 10x = 14x -45 + 14x = 81 Solving -45 + 14x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 14x = 81 + 45 Combine like terms: -45 + 45 = 0 0 + 14x = 81 + 45 14x = 81 + 45 Combine like terms: 81 + 45 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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