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Simplifying 10x = 8(x + 12) Reorder the terms: 10x = 8(12 + x) 10x = (12 * 8 + x * 8) 10x = (96 + 8x) Solving 10x = 96 + 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. 10x + -8x = 96 + 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 96 + 8x + -8x Combine like terms: 8x + -8x = 0 2x = 96 + 0 2x = 96 Divide each side by '2'. x = 48 Simplifying x = 48
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