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Simplifying (6x + 2) * 2 = 4x + 36 Reorder the terms: (2 + 6x) * 2 = 4x + 36 Reorder the terms for easier multiplication: 2(2 + 6x) = 4x + 36 (2 * 2 + 6x * 2) = 4x + 36 (4 + 12x) = 4x + 36 Reorder the terms: 4 + 12x = 36 + 4x Solving 4 + 12x = 36 + 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 + 12x + -4x = 36 + 4x + -4x Combine like terms: 12x + -4x = 8x 4 + 8x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 8x = 36 + 0 4 + 8x = 36 Add '-4' to each side of the equation. 4 + -4 + 8x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 36 + -4 8x = 36 + -4 Combine like terms: 36 + -4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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