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Simplifying -8(8 + -5x) + 5(4x + -8) = 76 (8 * -8 + -5x * -8) + 5(4x + -8) = 76 (-64 + 40x) + 5(4x + -8) = 76 Reorder the terms: -64 + 40x + 5(-8 + 4x) = 76 -64 + 40x + (-8 * 5 + 4x * 5) = 76 -64 + 40x + (-40 + 20x) = 76 Reorder the terms: -64 + -40 + 40x + 20x = 76 Combine like terms: -64 + -40 = -104 -104 + 40x + 20x = 76 Combine like terms: 40x + 20x = 60x -104 + 60x = 76 Solving -104 + 60x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + 60x = 76 + 104 Combine like terms: -104 + 104 = 0 0 + 60x = 76 + 104 60x = 76 + 104 Combine like terms: 76 + 104 = 180 60x = 180 Divide each side by '60'. x = 3 Simplifying x = 3
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