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Simplifying 5(2x + 1) + 3(x + 2) = 24 Reorder the terms: 5(1 + 2x) + 3(x + 2) = 24 (1 * 5 + 2x * 5) + 3(x + 2) = 24 (5 + 10x) + 3(x + 2) = 24 Reorder the terms: 5 + 10x + 3(2 + x) = 24 5 + 10x + (2 * 3 + x * 3) = 24 5 + 10x + (6 + 3x) = 24 Reorder the terms: 5 + 6 + 10x + 3x = 24 Combine like terms: 5 + 6 = 11 11 + 10x + 3x = 24 Combine like terms: 10x + 3x = 13x 11 + 13x = 24 Solving 11 + 13x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 24 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 24 + -11 13x = 24 + -11 Combine like terms: 24 + -11 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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