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Simplifying x + -161 = 2x + 5(5x + -1) Reorder the terms: -161 + x = 2x + 5(5x + -1) Reorder the terms: -161 + x = 2x + 5(-1 + 5x) -161 + x = 2x + (-1 * 5 + 5x * 5) -161 + x = 2x + (-5 + 25x) Reorder the terms: -161 + x = -5 + 2x + 25x Combine like terms: 2x + 25x = 27x -161 + x = -5 + 27x Solving -161 + x = -5 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -161 + x + -27x = -5 + 27x + -27x Combine like terms: x + -27x = -26x -161 + -26x = -5 + 27x + -27x Combine like terms: 27x + -27x = 0 -161 + -26x = -5 + 0 -161 + -26x = -5 Add '161' to each side of the equation. -161 + 161 + -26x = -5 + 161 Combine like terms: -161 + 161 = 0 0 + -26x = -5 + 161 -26x = -5 + 161 Combine like terms: -5 + 161 = 156 -26x = 156 Divide each side by '-26'. x = -6 Simplifying x = -6
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