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Simplifying (4x + 2) * 2 = 4x + 44 Reorder the terms: (2 + 4x) * 2 = 4x + 44 Reorder the terms for easier multiplication: 2(2 + 4x) = 4x + 44 (2 * 2 + 4x * 2) = 4x + 44 (4 + 8x) = 4x + 44 Reorder the terms: 4 + 8x = 44 + 4x Solving 4 + 8x = 44 + 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 + 8x + -4x = 44 + 4x + -4x Combine like terms: 8x + -4x = 4x 4 + 4x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 4x = 44 + 0 4 + 4x = 44 Add '-4' to each side of the equation. 4 + -4 + 4x = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 44 + -4 4x = 44 + -4 Combine like terms: 44 + -4 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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