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Simplifying 8x + 4x + 14 = 5x + 6x + -13 Reorder the terms: 14 + 8x + 4x = 5x + 6x + -13 Combine like terms: 8x + 4x = 12x 14 + 12x = 5x + 6x + -13 Reorder the terms: 14 + 12x = -13 + 5x + 6x Combine like terms: 5x + 6x = 11x 14 + 12x = -13 + 11x Solving 14 + 12x = -13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + 12x + -11x = -13 + 11x + -11x Combine like terms: 12x + -11x = 1x 14 + 1x = -13 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + 1x = -13 + 0 14 + 1x = -13 Add '-14' to each side of the equation. 14 + -14 + 1x = -13 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -13 + -14 1x = -13 + -14 Combine like terms: -13 + -14 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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