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Simplifying 10x + -24 = 8x + 12 Reorder the terms: -24 + 10x = 8x + 12 Reorder the terms: -24 + 10x = 12 + 8x Solving -24 + 10x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x -24 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 2x = 12 + 0 -24 + 2x = 12 Add '24' to each side of the equation. -24 + 24 + 2x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 12 + 24 2x = 12 + 24 Combine like terms: 12 + 24 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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