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Simplifying 5x + 2[3x + 5(2x + 1)] = 72 Reorder the terms: 5x + 2[3x + 5(1 + 2x)] = 72 5x + 2[3x + (1 * 5 + 2x * 5)] = 72 5x + 2[3x + (5 + 10x)] = 72 Reorder the terms: 5x + 2[5 + 3x + 10x] = 72 Combine like terms: 3x + 10x = 13x 5x + 2[5 + 13x] = 72 5x + [5 * 2 + 13x * 2] = 72 5x + [10 + 26x] = 72 Reorder the terms: 10 + 5x + 26x = 72 Combine like terms: 5x + 26x = 31x 10 + 31x = 72 Solving 10 + 31x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 31x = 72 + -10 Combine like terms: 10 + -10 = 0 0 + 31x = 72 + -10 31x = 72 + -10 Combine like terms: 72 + -10 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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