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Simplifying 3(2x + 7) + 2(4x + 1) = 37 Reorder the terms: 3(7 + 2x) + 2(4x + 1) = 37 (7 * 3 + 2x * 3) + 2(4x + 1) = 37 (21 + 6x) + 2(4x + 1) = 37 Reorder the terms: 21 + 6x + 2(1 + 4x) = 37 21 + 6x + (1 * 2 + 4x * 2) = 37 21 + 6x + (2 + 8x) = 37 Reorder the terms: 21 + 2 + 6x + 8x = 37 Combine like terms: 21 + 2 = 23 23 + 6x + 8x = 37 Combine like terms: 6x + 8x = 14x 23 + 14x = 37 Solving 23 + 14x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 14x = 37 + -23 Combine like terms: 23 + -23 = 0 0 + 14x = 37 + -23 14x = 37 + -23 Combine like terms: 37 + -23 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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