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Simplifying 5 + 14x + -1 = 8x + 81 + -5x Reorder the terms: 5 + -1 + 14x = 8x + 81 + -5x Combine like terms: 5 + -1 = 4 4 + 14x = 8x + 81 + -5x Reorder the terms: 4 + 14x = 81 + 8x + -5x Combine like terms: 8x + -5x = 3x 4 + 14x = 81 + 3x Solving 4 + 14x = 81 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 14x + -3x = 81 + 3x + -3x Combine like terms: 14x + -3x = 11x 4 + 11x = 81 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 11x = 81 + 0 4 + 11x = 81 Add '-4' to each side of the equation. 4 + -4 + 11x = 81 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 81 + -4 11x = 81 + -4 Combine like terms: 81 + -4 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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