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Simplifying 12 + 10x = 8(x + 12) Reorder the terms: 12 + 10x = 8(12 + x) 12 + 10x = (12 * 8 + x * 8) 12 + 10x = (96 + 8x) Solving 12 + 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. 12 + 10x + -8x = 96 + 8x + -8x Combine like terms: 10x + -8x = 2x 12 + 2x = 96 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 2x = 96 + 0 12 + 2x = 96 Add '-12' to each side of the equation. 12 + -12 + 2x = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 96 + -12 2x = 96 + -12 Combine like terms: 96 + -12 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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