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Simplifying 2(3x + 1) = 12 + -4x Reorder the terms: 2(1 + 3x) = 12 + -4x (1 * 2 + 3x * 2) = 12 + -4x (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 = 10x 2 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 10x = 12 + 0 2 + 10x = 12 Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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