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Simplifying -4(5x + 10) = -5(x + 8) Reorder the terms: -4(10 + 5x) = -5(x + 8) (10 * -4 + 5x * -4) = -5(x + 8) (-40 + -20x) = -5(x + 8) Reorder the terms: -40 + -20x = -5(8 + x) -40 + -20x = (8 * -5 + x * -5) -40 + -20x = (-40 + -5x) Add '40' to each side of the equation. -40 + 40 + -20x = -40 + 40 + -5x Combine like terms: -40 + 40 = 0 0 + -20x = -40 + 40 + -5x -20x = -40 + 40 + -5x Combine like terms: -40 + 40 = 0 -20x = 0 + -5x -20x = -5x Solving -20x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -20x + 5x = -5x + 5x Combine like terms: -20x + 5x = -15x -15x = -5x + 5x Combine like terms: -5x + 5x = 0 -15x = 0 Divide each side by '-15'. x = 0 Simplifying x = 0
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