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Simplifying -2x + 7(-5x + -17) = 177 Reorder the terms: -2x + 7(-17 + -5x) = 177 -2x + (-17 * 7 + -5x * 7) = 177 -2x + (-119 + -35x) = 177 Reorder the terms: -119 + -2x + -35x = 177 Combine like terms: -2x + -35x = -37x -119 + -37x = 177 Solving -119 + -37x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + -37x = 177 + 119 Combine like terms: -119 + 119 = 0 0 + -37x = 177 + 119 -37x = 177 + 119 Combine like terms: 177 + 119 = 296 -37x = 296 Divide each side by '-37'. x = -8 Simplifying x = -8
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