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Simplifying 3(2x + 4y + 1) = 0 Reorder the terms: 3(1 + 2x + 4y) = 0 (1 * 3 + 2x * 3 + 4y * 3) = 0 (3 + 6x + 12y) = 0 Solving 3 + 6x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6x + -3 + 12y = 0 + -3 Reorder the terms: 3 + -3 + 6x + 12y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x + 12y = 0 + -3 6x + 12y = 0 + -3 Combine like terms: 0 + -3 = -3 6x + 12y = -3 Add '-12y' to each side of the equation. 6x + 12y + -12y = -3 + -12y Combine like terms: 12y + -12y = 0 6x + 0 = -3 + -12y 6x = -3 + -12y Divide each side by '6'. x = -0.5 + -2y Simplifying x = -0.5 + -2y
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