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Simplifying 3(2x + 6) + 12 = 4x + 16 Reorder the terms: 3(6 + 2x) + 12 = 4x + 16 (6 * 3 + 2x * 3) + 12 = 4x + 16 (18 + 6x) + 12 = 4x + 16 Reorder the terms: 18 + 12 + 6x = 4x + 16 Combine like terms: 18 + 12 = 30 30 + 6x = 4x + 16 Reorder the terms: 30 + 6x = 16 + 4x Solving 30 + 6x = 16 + 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. 30 + 6x + -4x = 16 + 4x + -4x Combine like terms: 6x + -4x = 2x 30 + 2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 2x = 16 + 0 30 + 2x = 16 Add '-30' to each side of the equation. 30 + -30 + 2x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 16 + -30 2x = 16 + -30 Combine like terms: 16 + -30 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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