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Simplifying 3(x + 5) + 2(3x + 1) = 45 Reorder the terms: 3(5 + x) + 2(3x + 1) = 45 (5 * 3 + x * 3) + 2(3x + 1) = 45 (15 + 3x) + 2(3x + 1) = 45 Reorder the terms: 15 + 3x + 2(1 + 3x) = 45 15 + 3x + (1 * 2 + 3x * 2) = 45 15 + 3x + (2 + 6x) = 45 Reorder the terms: 15 + 2 + 3x + 6x = 45 Combine like terms: 15 + 2 = 17 17 + 3x + 6x = 45 Combine like terms: 3x + 6x = 9x 17 + 9x = 45 Solving 17 + 9x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9x = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 45 + -17 9x = 45 + -17 Combine like terms: 45 + -17 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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