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Simplifying 12x = 8(x + 1) + 32 Reorder the terms: 12x = 8(1 + x) + 32 12x = (1 * 8 + x * 8) + 32 12x = (8 + 8x) + 32 Reorder the terms: 12x = 8 + 32 + 8x Combine like terms: 8 + 32 = 40 12x = 40 + 8x Solving 12x = 40 + 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. 12x + -8x = 40 + 8x + -8x Combine like terms: 12x + -8x = 4x 4x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 4x = 40 + 0 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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