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Simplifying 5(x + 3) + 6(2 + x) = 30 Reorder the terms: 5(3 + x) + 6(2 + x) = 30 (3 * 5 + x * 5) + 6(2 + x) = 30 (15 + 5x) + 6(2 + x) = 30 15 + 5x + (2 * 6 + x * 6) = 30 15 + 5x + (12 + 6x) = 30 Reorder the terms: 15 + 12 + 5x + 6x = 30 Combine like terms: 15 + 12 = 27 27 + 5x + 6x = 30 Combine like terms: 5x + 6x = 11x 27 + 11x = 30 Solving 27 + 11x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = 30 + -27 11x = 30 + -27 Combine like terms: 30 + -27 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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