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Simplifying 2(x + 2y + 1) = 0 Reorder the terms: 2(1 + x + 2y) = 0 (1 * 2 + x * 2 + 2y * 2) = 0 (2 + 2x + 4y) = 0 Solving 2 + 2x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + 4y = 0 + -2 Reorder the terms: 2 + -2 + 2x + 4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 4y = 0 + -2 2x + 4y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + 4y = -2 Add '-4y' to each side of the equation. 2x + 4y + -4y = -2 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -2 + -4y 2x = -2 + -4y Divide each side by '2'. x = -1 + -2y Simplifying x = -1 + -2y
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