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Simplifying -5x + 7(5x + -13) = 89 Reorder the terms: -5x + 7(-13 + 5x) = 89 -5x + (-13 * 7 + 5x * 7) = 89 -5x + (-91 + 35x) = 89 Reorder the terms: -91 + -5x + 35x = 89 Combine like terms: -5x + 35x = 30x -91 + 30x = 89 Solving -91 + 30x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 30x = 89 + 91 Combine like terms: -91 + 91 = 0 0 + 30x = 89 + 91 30x = 89 + 91 Combine like terms: 89 + 91 = 180 30x = 180 Divide each side by '30'. x = 6 Simplifying x = 6
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