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Simplifying 3(-4x + 8) + -2(7x + -5) = 60 Reorder the terms: 3(8 + -4x) + -2(7x + -5) = 60 (8 * 3 + -4x * 3) + -2(7x + -5) = 60 (24 + -12x) + -2(7x + -5) = 60 Reorder the terms: 24 + -12x + -2(-5 + 7x) = 60 24 + -12x + (-5 * -2 + 7x * -2) = 60 24 + -12x + (10 + -14x) = 60 Reorder the terms: 24 + 10 + -12x + -14x = 60 Combine like terms: 24 + 10 = 34 34 + -12x + -14x = 60 Combine like terms: -12x + -14x = -26x 34 + -26x = 60 Solving 34 + -26x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -26x = 60 + -34 Combine like terms: 34 + -34 = 0 0 + -26x = 60 + -34 -26x = 60 + -34 Combine like terms: 60 + -34 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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