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Simplifying 12x + 20 = 2(3x + 1) Reorder the terms: 20 + 12x = 2(3x + 1) Reorder the terms: 20 + 12x = 2(1 + 3x) 20 + 12x = (1 * 2 + 3x * 2) 20 + 12x = (2 + 6x) Solving 20 + 12x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 12x + -6x = 2 + 6x + -6x Combine like terms: 12x + -6x = 6x 20 + 6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 6x = 2 + 0 20 + 6x = 2 Add '-20' to each side of the equation. 20 + -20 + 6x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 2 + -20 6x = 2 + -20 Combine like terms: 2 + -20 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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