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Simplifying 3(x + 5) + 2x = 45 Reorder the terms: 3(5 + x) + 2x = 45 (5 * 3 + x * 3) + 2x = 45 (15 + 3x) + 2x = 45 Combine like terms: 3x + 2x = 5x 15 + 5x = 45 Solving 15 + 5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 45 + -15 5x = 45 + -15 Combine like terms: 45 + -15 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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