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Simplifying x(5 + 7) = 8(4 + x) Combine like terms: 5 + 7 = 12 x(12) = 8(4 + x) Reorder the terms for easier multiplication: 12x = 8(4 + x) 12x = (4 * 8 + x * 8) 12x = (32 + 8x) Solving 12x = 32 + 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 = 32 + 8x + -8x Combine like terms: 12x + -8x = 4x 4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 4x = 32 + 0 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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