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Simplifying 8x + -6 + 12x + -24 = 10 Reorder the terms: -6 + -24 + 8x + 12x = 10 Combine like terms: -6 + -24 = -30 -30 + 8x + 12x = 10 Combine like terms: 8x + 12x = 20x -30 + 20x = 10 Solving -30 + 20x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = 10 + 30 20x = 10 + 30 Combine like terms: 10 + 30 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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