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Simplifying -5(-2x + 8) = -10(x + -2) Reorder the terms: -5(8 + -2x) = -10(x + -2) (8 * -5 + -2x * -5) = -10(x + -2) (-40 + 10x) = -10(x + -2) Reorder the terms: -40 + 10x = -10(-2 + x) -40 + 10x = (-2 * -10 + x * -10) -40 + 10x = (20 + -10x) Solving -40 + 10x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -40 + 10x + 10x = 20 + -10x + 10x Combine like terms: 10x + 10x = 20x -40 + 20x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -40 + 20x = 20 + 0 -40 + 20x = 20 Add '40' to each side of the equation. -40 + 40 + 20x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 20 + 40 20x = 20 + 40 Combine like terms: 20 + 40 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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