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Simplifying 2(3x + 2) + 5(2 + 7) = 614 Reorder the terms: 2(2 + 3x) + 5(2 + 7) = 614 (2 * 2 + 3x * 2) + 5(2 + 7) = 614 (4 + 6x) + 5(2 + 7) = 614 Combine like terms: 2 + 7 = 9 4 + 6x + 5(9) = 614 Multiply 5 * 9 4 + 6x + 45 = 614 Reorder the terms: 4 + 45 + 6x = 614 Combine like terms: 4 + 45 = 49 49 + 6x = 614 Solving 49 + 6x = 614 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 6x = 614 + -49 Combine like terms: 49 + -49 = 0 0 + 6x = 614 + -49 6x = 614 + -49 Combine like terms: 614 + -49 = 565 6x = 565 Divide each side by '6'. x = 94.16666667 Simplifying x = 94.16666667
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