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Simplifying 5(2x + 1) + 3(x + 3) = 40 Reorder the terms: 5(1 + 2x) + 3(x + 3) = 40 (1 * 5 + 2x * 5) + 3(x + 3) = 40 (5 + 10x) + 3(x + 3) = 40 Reorder the terms: 5 + 10x + 3(3 + x) = 40 5 + 10x + (3 * 3 + x * 3) = 40 5 + 10x + (9 + 3x) = 40 Reorder the terms: 5 + 9 + 10x + 3x = 40 Combine like terms: 5 + 9 = 14 14 + 10x + 3x = 40 Combine like terms: 10x + 3x = 13x 14 + 13x = 40 Solving 14 + 13x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 13x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 40 + -14 13x = 40 + -14 Combine like terms: 40 + -14 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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