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Simplifying 4x + 2(2x + 1) = 2(2x + 5) + 4 Reorder the terms: 4x + 2(1 + 2x) = 2(2x + 5) + 4 4x + (1 * 2 + 2x * 2) = 2(2x + 5) + 4 4x + (2 + 4x) = 2(2x + 5) + 4 Reorder the terms: 2 + 4x + 4x = 2(2x + 5) + 4 Combine like terms: 4x + 4x = 8x 2 + 8x = 2(2x + 5) + 4 Reorder the terms: 2 + 8x = 2(5 + 2x) + 4 2 + 8x = (5 * 2 + 2x * 2) + 4 2 + 8x = (10 + 4x) + 4 Reorder the terms: 2 + 8x = 10 + 4 + 4x Combine like terms: 10 + 4 = 14 2 + 8x = 14 + 4x Solving 2 + 8x = 14 + 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. 2 + 8x + -4x = 14 + 4x + -4x Combine like terms: 8x + -4x = 4x 2 + 4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 4x = 14 + 0 2 + 4x = 14 Add '-2' to each side of the equation. 2 + -2 + 4x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 14 + -2 4x = 14 + -2 Combine like terms: 14 + -2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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