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Simplifying 9x + 14 = 2(3x + 8) Reorder the terms: 14 + 9x = 2(3x + 8) Reorder the terms: 14 + 9x = 2(8 + 3x) 14 + 9x = (8 * 2 + 3x * 2) 14 + 9x = (16 + 6x) Solving 14 + 9x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 9x + -6x = 16 + 6x + -6x Combine like terms: 9x + -6x = 3x 14 + 3x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 3x = 16 + 0 14 + 3x = 16 Add '-14' to each side of the equation. 14 + -14 + 3x = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 16 + -14 3x = 16 + -14 Combine like terms: 16 + -14 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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