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Simplifying 12 + 5(x + -8) = -9(5x + -8) Reorder the terms: 12 + 5(-8 + x) = -9(5x + -8) 12 + (-8 * 5 + x * 5) = -9(5x + -8) 12 + (-40 + 5x) = -9(5x + -8) Combine like terms: 12 + -40 = -28 -28 + 5x = -9(5x + -8) Reorder the terms: -28 + 5x = -9(-8 + 5x) -28 + 5x = (-8 * -9 + 5x * -9) -28 + 5x = (72 + -45x) Solving -28 + 5x = 72 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -28 + 5x + 45x = 72 + -45x + 45x Combine like terms: 5x + 45x = 50x -28 + 50x = 72 + -45x + 45x Combine like terms: -45x + 45x = 0 -28 + 50x = 72 + 0 -28 + 50x = 72 Add '28' to each side of the equation. -28 + 28 + 50x = 72 + 28 Combine like terms: -28 + 28 = 0 0 + 50x = 72 + 28 50x = 72 + 28 Combine like terms: 72 + 28 = 100 50x = 100 Divide each side by '50'. x = 2 Simplifying x = 2
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