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Simplifying 3(2x + 5) + 2(5x + 3) = 53 Reorder the terms: 3(5 + 2x) + 2(5x + 3) = 53 (5 * 3 + 2x * 3) + 2(5x + 3) = 53 (15 + 6x) + 2(5x + 3) = 53 Reorder the terms: 15 + 6x + 2(3 + 5x) = 53 15 + 6x + (3 * 2 + 5x * 2) = 53 15 + 6x + (6 + 10x) = 53 Reorder the terms: 15 + 6 + 6x + 10x = 53 Combine like terms: 15 + 6 = 21 21 + 6x + 10x = 53 Combine like terms: 6x + 10x = 16x 21 + 16x = 53 Solving 21 + 16x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 16x = 53 + -21 Combine like terms: 21 + -21 = 0 0 + 16x = 53 + -21 16x = 53 + -21 Combine like terms: 53 + -21 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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