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Simplifying 5(x + 2) + 6(x + 3) = 72 Reorder the terms: 5(2 + x) + 6(x + 3) = 72 (2 * 5 + x * 5) + 6(x + 3) = 72 (10 + 5x) + 6(x + 3) = 72 Reorder the terms: 10 + 5x + 6(3 + x) = 72 10 + 5x + (3 * 6 + x * 6) = 72 10 + 5x + (18 + 6x) = 72 Reorder the terms: 10 + 18 + 5x + 6x = 72 Combine like terms: 10 + 18 = 28 28 + 5x + 6x = 72 Combine like terms: 5x + 6x = 11x 28 + 11x = 72 Solving 28 + 11x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 11x = 72 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 72 + -28 11x = 72 + -28 Combine like terms: 72 + -28 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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