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Simplifying 7x + 27 + 5x + -9 = 13x + -17 + -8x + -14 Reorder the terms: 27 + -9 + 7x + 5x = 13x + -17 + -8x + -14 Combine like terms: 27 + -9 = 18 18 + 7x + 5x = 13x + -17 + -8x + -14 Combine like terms: 7x + 5x = 12x 18 + 12x = 13x + -17 + -8x + -14 Reorder the terms: 18 + 12x = -17 + -14 + 13x + -8x Combine like terms: -17 + -14 = -31 18 + 12x = -31 + 13x + -8x Combine like terms: 13x + -8x = 5x 18 + 12x = -31 + 5x Solving 18 + 12x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 12x + -5x = -31 + 5x + -5x Combine like terms: 12x + -5x = 7x 18 + 7x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 7x = -31 + 0 18 + 7x = -31 Add '-18' to each side of the equation. 18 + -18 + 7x = -31 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -31 + -18 7x = -31 + -18 Combine like terms: -31 + -18 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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