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Simplifying 8x + -24 = 3(x + 12) Reorder the terms: -24 + 8x = 3(x + 12) Reorder the terms: -24 + 8x = 3(12 + x) -24 + 8x = (12 * 3 + x * 3) -24 + 8x = (36 + 3x) Solving -24 + 8x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 8x + -3x = 36 + 3x + -3x Combine like terms: 8x + -3x = 5x -24 + 5x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 5x = 36 + 0 -24 + 5x = 36 Add '24' to each side of the equation. -24 + 24 + 5x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 36 + 24 5x = 36 + 24 Combine like terms: 36 + 24 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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