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Simplifying 2x + 5(4x + -9) = 109 Reorder the terms: 2x + 5(-9 + 4x) = 109 2x + (-9 * 5 + 4x * 5) = 109 2x + (-45 + 20x) = 109 Reorder the terms: -45 + 2x + 20x = 109 Combine like terms: 2x + 20x = 22x -45 + 22x = 109 Solving -45 + 22x = 109 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 + 22x = 109 + 45 Combine like terms: -45 + 45 = 0 0 + 22x = 109 + 45 22x = 109 + 45 Combine like terms: 109 + 45 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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