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Simplifying 2x + 5(4x + -10) = 82 Reorder the terms: 2x + 5(-10 + 4x) = 82 2x + (-10 * 5 + 4x * 5) = 82 2x + (-50 + 20x) = 82 Reorder the terms: -50 + 2x + 20x = 82 Combine like terms: 2x + 20x = 22x -50 + 22x = 82 Solving -50 + 22x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 22x = 82 + 50 Combine like terms: -50 + 50 = 0 0 + 22x = 82 + 50 22x = 82 + 50 Combine like terms: 82 + 50 = 132 22x = 132 Divide each side by '22'. x = 6 Simplifying x = 6
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