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Simplifying 12(x + 3) = 2(x + 4) + 48 Reorder the terms: 12(3 + x) = 2(x + 4) + 48 (3 * 12 + x * 12) = 2(x + 4) + 48 (36 + 12x) = 2(x + 4) + 48 Reorder the terms: 36 + 12x = 2(4 + x) + 48 36 + 12x = (4 * 2 + x * 2) + 48 36 + 12x = (8 + 2x) + 48 Reorder the terms: 36 + 12x = 8 + 48 + 2x Combine like terms: 8 + 48 = 56 36 + 12x = 56 + 2x Solving 36 + 12x = 56 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 12x + -2x = 56 + 2x + -2x Combine like terms: 12x + -2x = 10x 36 + 10x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 10x = 56 + 0 36 + 10x = 56 Add '-36' to each side of the equation. 36 + -36 + 10x = 56 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 56 + -36 10x = 56 + -36 Combine like terms: 56 + -36 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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