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Simplifying 2(2x + 6) + 2(3 + x) + 2x = 226 Reorder the terms: 2(6 + 2x) + 2(3 + x) + 2x = 226 (6 * 2 + 2x * 2) + 2(3 + x) + 2x = 226 (12 + 4x) + 2(3 + x) + 2x = 226 12 + 4x + (3 * 2 + x * 2) + 2x = 226 12 + 4x + (6 + 2x) + 2x = 226 Reorder the terms: 12 + 6 + 4x + 2x + 2x = 226 Combine like terms: 12 + 6 = 18 18 + 4x + 2x + 2x = 226 Combine like terms: 4x + 2x = 6x 18 + 6x + 2x = 226 Combine like terms: 6x + 2x = 8x 18 + 8x = 226 Solving 18 + 8x = 226 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 226 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 226 + -18 8x = 226 + -18 Combine like terms: 226 + -18 = 208 8x = 208 Divide each side by '8'. x = 26 Simplifying x = 26
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