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Simplifying 6x + 5(x + -20) = 538 Reorder the terms: 6x + 5(-20 + x) = 538 6x + (-20 * 5 + x * 5) = 538 6x + (-100 + 5x) = 538 Reorder the terms: -100 + 6x + 5x = 538 Combine like terms: 6x + 5x = 11x -100 + 11x = 538 Solving -100 + 11x = 538 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 11x = 538 + 100 Combine like terms: -100 + 100 = 0 0 + 11x = 538 + 100 11x = 538 + 100 Combine like terms: 538 + 100 = 638 11x = 638 Divide each side by '11'. x = 58 Simplifying x = 58
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