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Simplifying 8x + 4x + 14 = 5x + 16 + -13 Reorder the terms: 14 + 8x + 4x = 5x + 16 + -13 Combine like terms: 8x + 4x = 12x 14 + 12x = 5x + 16 + -13 Reorder the terms: 14 + 12x = 16 + -13 + 5x Combine like terms: 16 + -13 = 3 14 + 12x = 3 + 5x Solving 14 + 12x = 3 + 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. 14 + 12x + -5x = 3 + 5x + -5x Combine like terms: 12x + -5x = 7x 14 + 7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 7x = 3 + 0 14 + 7x = 3 Add '-14' to each side of the equation. 14 + -14 + 7x = 3 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 3 + -14 7x = 3 + -14 Combine like terms: 3 + -14 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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