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Simplifying 3(2x + 5) + 2(5x + 2) = 53 Reorder the terms: 3(5 + 2x) + 2(5x + 2) = 53 (5 * 3 + 2x * 3) + 2(5x + 2) = 53 (15 + 6x) + 2(5x + 2) = 53 Reorder the terms: 15 + 6x + 2(2 + 5x) = 53 15 + 6x + (2 * 2 + 5x * 2) = 53 15 + 6x + (4 + 10x) = 53 Reorder the terms: 15 + 4 + 6x + 10x = 53 Combine like terms: 15 + 4 = 19 19 + 6x + 10x = 53 Combine like terms: 6x + 10x = 16x 19 + 16x = 53 Solving 19 + 16x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 16x = 53 + -19 Combine like terms: 19 + -19 = 0 0 + 16x = 53 + -19 16x = 53 + -19 Combine like terms: 53 + -19 = 34 16x = 34 Divide each side by '16'. x = 2.125 Simplifying x = 2.125
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