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Simplifying 2(3x + 1) = 4x + 12 Reorder the terms: 2(1 + 3x) = 4x + 12 (1 * 2 + 3x * 2) = 4x + 12 (2 + 6x) = 4x + 12 Reorder the terms: 2 + 6x = 12 + 4x Solving 2 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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