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Simplifying 5(10x + -57) = 5(5x + -7) Reorder the terms: 5(-57 + 10x) = 5(5x + -7) (-57 * 5 + 10x * 5) = 5(5x + -7) (-285 + 50x) = 5(5x + -7) Reorder the terms: -285 + 50x = 5(-7 + 5x) -285 + 50x = (-7 * 5 + 5x * 5) -285 + 50x = (-35 + 25x) Solving -285 + 50x = -35 + 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. -285 + 50x + -25x = -35 + 25x + -25x Combine like terms: 50x + -25x = 25x -285 + 25x = -35 + 25x + -25x Combine like terms: 25x + -25x = 0 -285 + 25x = -35 + 0 -285 + 25x = -35 Add '285' to each side of the equation. -285 + 285 + 25x = -35 + 285 Combine like terms: -285 + 285 = 0 0 + 25x = -35 + 285 25x = -35 + 285 Combine like terms: -35 + 285 = 250 25x = 250 Divide each side by '25'. x = 10 Simplifying x = 10
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