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Simplifying 4(10x + -10) = -4(-5x + 5) Reorder the terms: 4(-10 + 10x) = -4(-5x + 5) (-10 * 4 + 10x * 4) = -4(-5x + 5) (-40 + 40x) = -4(-5x + 5) Reorder the terms: -40 + 40x = -4(5 + -5x) -40 + 40x = (5 * -4 + -5x * -4) -40 + 40x = (-20 + 20x) Solving -40 + 40x = -20 + 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 + 40x + -20x = -20 + 20x + -20x Combine like terms: 40x + -20x = 20x -40 + 20x = -20 + 20x + -20x Combine like terms: 20x + -20x = 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 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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