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Simplifying 11x + 13(x + 5) = 233 Reorder the terms: 11x + 13(5 + x) = 233 11x + (5 * 13 + x * 13) = 233 11x + (65 + 13x) = 233 Reorder the terms: 65 + 11x + 13x = 233 Combine like terms: 11x + 13x = 24x 65 + 24x = 233 Solving 65 + 24x = 233 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 + 24x = 233 + -65 Combine like terms: 65 + -65 = 0 0 + 24x = 233 + -65 24x = 233 + -65 Combine like terms: 233 + -65 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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