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Simplifying 12(x + -3) = 5(x + -5) Reorder the terms: 12(-3 + x) = 5(x + -5) (-3 * 12 + x * 12) = 5(x + -5) (-36 + 12x) = 5(x + -5) Reorder the terms: -36 + 12x = 5(-5 + x) -36 + 12x = (-5 * 5 + x * 5) -36 + 12x = (-25 + 5x) Solving -36 + 12x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 12x + -5x = -25 + 5x + -5x Combine like terms: 12x + -5x = 7x -36 + 7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 7x = -25 + 0 -36 + 7x = -25 Add '36' to each side of the equation. -36 + 36 + 7x = -25 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = -25 + 36 7x = -25 + 36 Combine like terms: -25 + 36 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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