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Simplifying (3x + 2) * 2 = 2x + 16 Reorder the terms: (2 + 3x) * 2 = 2x + 16 Reorder the terms for easier multiplication: 2(2 + 3x) = 2x + 16 (2 * 2 + 3x * 2) = 2x + 16 (4 + 6x) = 2x + 16 Reorder the terms: 4 + 6x = 16 + 2x Solving 4 + 6x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 16 + 0 4 + 4x = 16 Add '-4' to each side of the equation. 4 + -4 + 4x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 16 + -4 4x = 16 + -4 Combine like terms: 16 + -4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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