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Simplifying 2(3x + 1) + 2 = 2(2x + 2) + 8 Reorder the terms: 2(1 + 3x) + 2 = 2(2x + 2) + 8 (1 * 2 + 3x * 2) + 2 = 2(2x + 2) + 8 (2 + 6x) + 2 = 2(2x + 2) + 8 Reorder the terms: 2 + 2 + 6x = 2(2x + 2) + 8 Combine like terms: 2 + 2 = 4 4 + 6x = 2(2x + 2) + 8 Reorder the terms: 4 + 6x = 2(2 + 2x) + 8 4 + 6x = (2 * 2 + 2x * 2) + 8 4 + 6x = (4 + 4x) + 8 Reorder the terms: 4 + 6x = 4 + 8 + 4x Combine like terms: 4 + 8 = 12 4 + 6x = 12 + 4x Solving 4 + 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. 4 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 4 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 2x = 12 + 0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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