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Simplifying 5x + 26(x + -4) = 82 Reorder the terms: 5x + 26(-4 + x) = 82 5x + (-4 * 26 + x * 26) = 82 5x + (-104 + 26x) = 82 Reorder the terms: -104 + 5x + 26x = 82 Combine like terms: 5x + 26x = 31x -104 + 31x = 82 Solving -104 + 31x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + 31x = 82 + 104 Combine like terms: -104 + 104 = 0 0 + 31x = 82 + 104 31x = 82 + 104 Combine like terms: 82 + 104 = 186 31x = 186 Divide each side by '31'. x = 6 Simplifying x = 6
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