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Simplifying 3(2x + 4) + 2 = 4x + 4 Reorder the terms: 3(4 + 2x) + 2 = 4x + 4 (4 * 3 + 2x * 3) + 2 = 4x + 4 (12 + 6x) + 2 = 4x + 4 Reorder the terms: 12 + 2 + 6x = 4x + 4 Combine like terms: 12 + 2 = 14 14 + 6x = 4x + 4 Reorder the terms: 14 + 6x = 4 + 4x Solving 14 + 6x = 4 + 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. 14 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x 14 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 2x = 4 + 0 14 + 2x = 4 Add '-14' to each side of the equation. 14 + -14 + 2x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 4 + -14 2x = 4 + -14 Combine like terms: 4 + -14 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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