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Simplifying 4x + 5(5x + -5) = 178 Reorder the terms: 4x + 5(-5 + 5x) = 178 4x + (-5 * 5 + 5x * 5) = 178 4x + (-25 + 25x) = 178 Reorder the terms: -25 + 4x + 25x = 178 Combine like terms: 4x + 25x = 29x -25 + 29x = 178 Solving -25 + 29x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 29x = 178 + 25 Combine like terms: -25 + 25 = 0 0 + 29x = 178 + 25 29x = 178 + 25 Combine like terms: 178 + 25 = 203 29x = 203 Divide each side by '29'. x = 7 Simplifying x = 7
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