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Simplifying 9(x + 2) + -2(x + -8) = 14 Reorder the terms: 9(2 + x) + -2(x + -8) = 14 (2 * 9 + x * 9) + -2(x + -8) = 14 (18 + 9x) + -2(x + -8) = 14 Reorder the terms: 18 + 9x + -2(-8 + x) = 14 18 + 9x + (-8 * -2 + x * -2) = 14 18 + 9x + (16 + -2x) = 14 Reorder the terms: 18 + 16 + 9x + -2x = 14 Combine like terms: 18 + 16 = 34 34 + 9x + -2x = 14 Combine like terms: 9x + -2x = 7x 34 + 7x = 14 Solving 34 + 7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 7x = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 14 + -34 7x = 14 + -34 Combine like terms: 14 + -34 = -20 7x = -20 Divide each side by '7'. x = -2.857142857 Simplifying x = -2.857142857
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