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Simplifying 12(3x + -5) = 5(5x + -1) Reorder the terms: 12(-5 + 3x) = 5(5x + -1) (-5 * 12 + 3x * 12) = 5(5x + -1) (-60 + 36x) = 5(5x + -1) Reorder the terms: -60 + 36x = 5(-1 + 5x) -60 + 36x = (-1 * 5 + 5x * 5) -60 + 36x = (-5 + 25x) Solving -60 + 36x = -5 + 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 + 36x + -25x = -5 + 25x + -25x Combine like terms: 36x + -25x = 11x -60 + 11x = -5 + 25x + -25x Combine like terms: 25x + -25x = 0 -60 + 11x = -5 + 0 -60 + 11x = -5 Add '60' to each side of the equation. -60 + 60 + 11x = -5 + 60 Combine like terms: -60 + 60 = 0 0 + 11x = -5 + 60 11x = -5 + 60 Combine like terms: -5 + 60 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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