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Simplifying 10x + 27(x + -5) = 82 Reorder the terms: 10x + 27(-5 + x) = 82 10x + (-5 * 27 + x * 27) = 82 10x + (-135 + 27x) = 82 Reorder the terms: -135 + 10x + 27x = 82 Combine like terms: 10x + 27x = 37x -135 + 37x = 82 Solving -135 + 37x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 37x = 82 + 135 Combine like terms: -135 + 135 = 0 0 + 37x = 82 + 135 37x = 82 + 135 Combine like terms: 82 + 135 = 217 37x = 217 Divide each side by '37'. x = 5.864864865 Simplifying x = 5.864864865
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