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Simplifying 2(10x + -20) = 2(5x + -40) Reorder the terms: 2(-20 + 10x) = 2(5x + -40) (-20 * 2 + 10x * 2) = 2(5x + -40) (-40 + 20x) = 2(5x + -40) Reorder the terms: -40 + 20x = 2(-40 + 5x) -40 + 20x = (-40 * 2 + 5x * 2) -40 + 20x = (-80 + 10x) Solving -40 + 20x = -80 + 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 + 20x + -10x = -80 + 10x + -10x Combine like terms: 20x + -10x = 10x -40 + 10x = -80 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + 10x = -80 + 0 -40 + 10x = -80 Add '40' to each side of the equation. -40 + 40 + 10x = -80 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -80 + 40 10x = -80 + 40 Combine like terms: -80 + 40 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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