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Simplifying (14x + 1) + -1(5x + -7) = 89 Reorder the terms: (1 + 14x) + -1(5x + -7) = 89 Remove parenthesis around (1 + 14x) 1 + 14x + -1(5x + -7) = 89 Reorder the terms: 1 + 14x + -1(-7 + 5x) = 89 1 + 14x + (-7 * -1 + 5x * -1) = 89 1 + 14x + (7 + -5x) = 89 Reorder the terms: 1 + 7 + 14x + -5x = 89 Combine like terms: 1 + 7 = 8 8 + 14x + -5x = 89 Combine like terms: 14x + -5x = 9x 8 + 9x = 89 Solving 8 + 9x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 89 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 89 + -8 9x = 89 + -8 Combine like terms: 89 + -8 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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