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Simplifying -5(6x + 8) = 20(x + 3) Reorder the terms: -5(8 + 6x) = 20(x + 3) (8 * -5 + 6x * -5) = 20(x + 3) (-40 + -30x) = 20(x + 3) Reorder the terms: -40 + -30x = 20(3 + x) -40 + -30x = (3 * 20 + x * 20) -40 + -30x = (60 + 20x) Solving -40 + -30x = 60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -40 + -30x + -20x = 60 + 20x + -20x Combine like terms: -30x + -20x = -50x -40 + -50x = 60 + 20x + -20x Combine like terms: 20x + -20x = 0 -40 + -50x = 60 + 0 -40 + -50x = 60 Add '40' to each side of the equation. -40 + 40 + -50x = 60 + 40 Combine like terms: -40 + 40 = 0 0 + -50x = 60 + 40 -50x = 60 + 40 Combine like terms: 60 + 40 = 100 -50x = 100 Divide each side by '-50'. x = -2 Simplifying x = -2
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