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Simplifying 5x + -7 + 89 = 14x + 1 Reorder the terms: -7 + 89 + 5x = 14x + 1 Combine like terms: -7 + 89 = 82 82 + 5x = 14x + 1 Reorder the terms: 82 + 5x = 1 + 14x Solving 82 + 5x = 1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 82 + 5x + -14x = 1 + 14x + -14x Combine like terms: 5x + -14x = -9x 82 + -9x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 82 + -9x = 1 + 0 82 + -9x = 1 Add '-82' to each side of the equation. 82 + -82 + -9x = 1 + -82 Combine like terms: 82 + -82 = 0 0 + -9x = 1 + -82 -9x = 1 + -82 Combine like terms: 1 + -82 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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