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Simplifying 5(10x + -10) = -5(-4x + -4) Reorder the terms: 5(-10 + 10x) = -5(-4x + -4) (-10 * 5 + 10x * 5) = -5(-4x + -4) (-50 + 50x) = -5(-4x + -4) Reorder the terms: -50 + 50x = -5(-4 + -4x) -50 + 50x = (-4 * -5 + -4x * -5) -50 + 50x = (20 + 20x) Solving -50 + 50x = 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. -50 + 50x + -20x = 20 + 20x + -20x Combine like terms: 50x + -20x = 30x -50 + 30x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -50 + 30x = 20 + 0 -50 + 30x = 20 Add '50' to each side of the equation. -50 + 50 + 30x = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 30x = 20 + 50 30x = 20 + 50 Combine like terms: 20 + 50 = 70 30x = 70 Divide each side by '30'. x = 2.333333333 Simplifying x = 2.333333333
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