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Simplifying 12(x + 2) = 1(12x + 4) + -20x Reorder the terms: 12(2 + x) = 1(12x + 4) + -20x (2 * 12 + x * 12) = 1(12x + 4) + -20x (24 + 12x) = 1(12x + 4) + -20x Reorder the terms: 24 + 12x = 1(4 + 12x) + -20x 24 + 12x = (4 * 1 + 12x * 1) + -20x 24 + 12x = (4 + 12x) + -20x Combine like terms: 12x + -20x = -8x 24 + 12x = 4 + -8x Solving 24 + 12x = 4 + -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. 24 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x 24 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 20x = 4 + 0 24 + 20x = 4 Add '-24' to each side of the equation. 24 + -24 + 20x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = 4 + -24 20x = 4 + -24 Combine like terms: 4 + -24 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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