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Simplifying 14x + 1 = 89 + 5x + -7 Reorder the terms: 1 + 14x = 89 + 5x + -7 Reorder the terms: 1 + 14x = 89 + -7 + 5x Combine like terms: 89 + -7 = 82 1 + 14x = 82 + 5x Solving 1 + 14x = 82 + 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. 1 + 14x + -5x = 82 + 5x + -5x Combine like terms: 14x + -5x = 9x 1 + 9x = 82 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 9x = 82 + 0 1 + 9x = 82 Add '-1' to each side of the equation. 1 + -1 + 9x = 82 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 82 + -1 9x = 82 + -1 Combine like terms: 82 + -1 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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