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Simplifying 4(x + 2) + 3(x + 5) = 72 Reorder the terms: 4(2 + x) + 3(x + 5) = 72 (2 * 4 + x * 4) + 3(x + 5) = 72 (8 + 4x) + 3(x + 5) = 72 Reorder the terms: 8 + 4x + 3(5 + x) = 72 8 + 4x + (5 * 3 + x * 3) = 72 8 + 4x + (15 + 3x) = 72 Reorder the terms: 8 + 15 + 4x + 3x = 72 Combine like terms: 8 + 15 = 23 23 + 4x + 3x = 72 Combine like terms: 4x + 3x = 7x 23 + 7x = 72 Solving 23 + 7x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 72 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 72 + -23 7x = 72 + -23 Combine like terms: 72 + -23 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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