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Simplifying 4x + 5(5x + -17) = 89 Reorder the terms: 4x + 5(-17 + 5x) = 89 4x + (-17 * 5 + 5x * 5) = 89 4x + (-85 + 25x) = 89 Reorder the terms: -85 + 4x + 25x = 89 Combine like terms: 4x + 25x = 29x -85 + 29x = 89 Solving -85 + 29x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 29x = 89 + 85 Combine like terms: -85 + 85 = 0 0 + 29x = 89 + 85 29x = 89 + 85 Combine like terms: 89 + 85 = 174 29x = 174 Divide each side by '29'. x = 6 Simplifying x = 6
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