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Simplifying 2x + -5(-3x + -5) = -77 Reorder the terms: 2x + -5(-5 + -3x) = -77 2x + (-5 * -5 + -3x * -5) = -77 2x + (25 + 15x) = -77 Reorder the terms: 25 + 2x + 15x = -77 Combine like terms: 2x + 15x = 17x 25 + 17x = -77 Solving 25 + 17x = -77 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 + 17x = -77 + -25 Combine like terms: 25 + -25 = 0 0 + 17x = -77 + -25 17x = -77 + -25 Combine like terms: -77 + -25 = -102 17x = -102 Divide each side by '17'. x = -6 Simplifying x = -6
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