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Simplifying 2(10x + 30) = 5(5x + -25) Reorder the terms: 2(30 + 10x) = 5(5x + -25) (30 * 2 + 10x * 2) = 5(5x + -25) (60 + 20x) = 5(5x + -25) Reorder the terms: 60 + 20x = 5(-25 + 5x) 60 + 20x = (-25 * 5 + 5x * 5) 60 + 20x = (-125 + 25x) Solving 60 + 20x = -125 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 60 + 20x + -25x = -125 + 25x + -25x Combine like terms: 20x + -25x = -5x 60 + -5x = -125 + 25x + -25x Combine like terms: 25x + -25x = 0 60 + -5x = -125 + 0 60 + -5x = -125 Add '-60' to each side of the equation. 60 + -60 + -5x = -125 + -60 Combine like terms: 60 + -60 = 0 0 + -5x = -125 + -60 -5x = -125 + -60 Combine like terms: -125 + -60 = -185 -5x = -185 Divide each side by '-5'. x = 37 Simplifying x = 37
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