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Simplifying 2(3x + 2) + 5(2x + 7) = 614 Reorder the terms: 2(2 + 3x) + 5(2x + 7) = 614 (2 * 2 + 3x * 2) + 5(2x + 7) = 614 (4 + 6x) + 5(2x + 7) = 614 Reorder the terms: 4 + 6x + 5(7 + 2x) = 614 4 + 6x + (7 * 5 + 2x * 5) = 614 4 + 6x + (35 + 10x) = 614 Reorder the terms: 4 + 35 + 6x + 10x = 614 Combine like terms: 4 + 35 = 39 39 + 6x + 10x = 614 Combine like terms: 6x + 10x = 16x 39 + 16x = 614 Solving 39 + 16x = 614 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 16x = 614 + -39 Combine like terms: 39 + -39 = 0 0 + 16x = 614 + -39 16x = 614 + -39 Combine like terms: 614 + -39 = 575 16x = 575 Divide each side by '16'. x = 35.9375 Simplifying x = 35.9375
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