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Simplifying 5(7x + 5) + 5(-3 + -1x) = -80 Reorder the terms: 5(5 + 7x) + 5(-3 + -1x) = -80 (5 * 5 + 7x * 5) + 5(-3 + -1x) = -80 (25 + 35x) + 5(-3 + -1x) = -80 25 + 35x + (-3 * 5 + -1x * 5) = -80 25 + 35x + (-15 + -5x) = -80 Reorder the terms: 25 + -15 + 35x + -5x = -80 Combine like terms: 25 + -15 = 10 10 + 35x + -5x = -80 Combine like terms: 35x + -5x = 30x 10 + 30x = -80 Solving 10 + 30x = -80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 30x = -80 + -10 Combine like terms: 10 + -10 = 0 0 + 30x = -80 + -10 30x = -80 + -10 Combine like terms: -80 + -10 = -90 30x = -90 Divide each side by '30'. x = -3 Simplifying x = -3
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