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Simplifying 5x + 5(-4x + -8) = -160 Reorder the terms: 5x + 5(-8 + -4x) = -160 5x + (-8 * 5 + -4x * 5) = -160 5x + (-40 + -20x) = -160 Reorder the terms: -40 + 5x + -20x = -160 Combine like terms: 5x + -20x = -15x -40 + -15x = -160 Solving -40 + -15x = -160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -15x = -160 + 40 Combine like terms: -40 + 40 = 0 0 + -15x = -160 + 40 -15x = -160 + 40 Combine like terms: -160 + 40 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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