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Simplifying 2x + 5(4x + -13) = 177 Reorder the terms: 2x + 5(-13 + 4x) = 177 2x + (-13 * 5 + 4x * 5) = 177 2x + (-65 + 20x) = 177 Reorder the terms: -65 + 2x + 20x = 177 Combine like terms: 2x + 20x = 22x -65 + 22x = 177 Solving -65 + 22x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 22x = 177 + 65 Combine like terms: -65 + 65 = 0 0 + 22x = 177 + 65 22x = 177 + 65 Combine like terms: 177 + 65 = 242 22x = 242 Divide each side by '22'. x = 11 Simplifying x = 11
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