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Simplifying 14(x + 6) + -17 = 12(x + 5) Reorder the terms: 14(6 + x) + -17 = 12(x + 5) (6 * 14 + x * 14) + -17 = 12(x + 5) (84 + 14x) + -17 = 12(x + 5) Reorder the terms: 84 + -17 + 14x = 12(x + 5) Combine like terms: 84 + -17 = 67 67 + 14x = 12(x + 5) Reorder the terms: 67 + 14x = 12(5 + x) 67 + 14x = (5 * 12 + x * 12) 67 + 14x = (60 + 12x) Solving 67 + 14x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 67 + 14x + -12x = 60 + 12x + -12x Combine like terms: 14x + -12x = 2x 67 + 2x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 67 + 2x = 60 + 0 67 + 2x = 60 Add '-67' to each side of the equation. 67 + -67 + 2x = 60 + -67 Combine like terms: 67 + -67 = 0 0 + 2x = 60 + -67 2x = 60 + -67 Combine like terms: 60 + -67 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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