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Simplifying 7x + 8 + 4x + 6 = 5x + 2 Reorder the terms: 8 + 6 + 7x + 4x = 5x + 2 Combine like terms: 8 + 6 = 14 14 + 7x + 4x = 5x + 2 Combine like terms: 7x + 4x = 11x 14 + 11x = 5x + 2 Reorder the terms: 14 + 11x = 2 + 5x Solving 14 + 11x = 2 + 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 + 11x + -5x = 2 + 5x + -5x Combine like terms: 11x + -5x = 6x 14 + 6x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 6x = 2 + 0 14 + 6x = 2 Add '-14' to each side of the equation. 14 + -14 + 6x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 2 + -14 6x = 2 + -14 Combine like terms: 2 + -14 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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