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Simplifying 6(3x + 4 + 2y) = 0 Reorder the terms: 6(4 + 3x + 2y) = 0 (4 * 6 + 3x * 6 + 2y * 6) = 0 (24 + 18x + 12y) = 0 Solving 24 + 18x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 18x + -24 + 12y = 0 + -24 Reorder the terms: 24 + -24 + 18x + 12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 18x + 12y = 0 + -24 18x + 12y = 0 + -24 Combine like terms: 0 + -24 = -24 18x + 12y = -24 Add '-12y' to each side of the equation. 18x + 12y + -12y = -24 + -12y Combine like terms: 12y + -12y = 0 18x + 0 = -24 + -12y 18x = -24 + -12y Divide each side by '18'. x = -1.333333333 + -0.6666666667y Simplifying x = -1.333333333 + -0.6666666667y
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