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Simplifying 12(3 + x) = 5(2x + 8) (3 * 12 + x * 12) = 5(2x + 8) (36 + 12x) = 5(2x + 8) Reorder the terms: 36 + 12x = 5(8 + 2x) 36 + 12x = (8 * 5 + 2x * 5) 36 + 12x = (40 + 10x) Solving 36 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 36 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + 2x = 40 + 0 36 + 2x = 40 Add '-36' to each side of the equation. 36 + -36 + 2x = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 40 + -36 2x = 40 + -36 Combine like terms: 40 + -36 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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