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Simplifying 3(x + 4y) + (x + 12y) = 0 (x * 3 + 4y * 3) + (x + 12y) = 0 (3x + 12y) + (x + 12y) = 0 Remove parenthesis around (x + 12y) 3x + 12y + x + 12y = 0 Reorder the terms: 3x + x + 12y + 12y = 0 Combine like terms: 3x + x = 4x 4x + 12y + 12y = 0 Combine like terms: 12y + 12y = 24y 4x + 24y = 0 Solving 4x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 4x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 4x + 0 = 0 + -24y 4x = 0 + -24y Remove the zero: 4x = -24y Divide each side by '4'. x = -6y Simplifying x = -6y
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