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Simplifying 2(3x + -6y) + 7(9y + -4x) = 0 (3x * 2 + -6y * 2) + 7(9y + -4x) = 0 (6x + -12y) + 7(9y + -4x) = 0 Reorder the terms: 6x + -12y + 7(-4x + 9y) = 0 6x + -12y + (-4x * 7 + 9y * 7) = 0 6x + -12y + (-28x + 63y) = 0 Reorder the terms: 6x + -28x + -12y + 63y = 0 Combine like terms: 6x + -28x = -22x -22x + -12y + 63y = 0 Combine like terms: -12y + 63y = 51y -22x + 51y = 0 Solving -22x + 51y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -22x + 51y + -51y = 0 + -51y Combine like terms: 51y + -51y = 0 -22x + 0 = 0 + -51y -22x = 0 + -51y Remove the zero: -22x = -51y Divide each side by '-22'. x = 2.318181818y Simplifying x = 2.318181818y
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