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Simplifying -3(10x + 4y) + 6(6x + -2y) = 0 (10x * -3 + 4y * -3) + 6(6x + -2y) = 0 (-30x + -12y) + 6(6x + -2y) = 0 -30x + -12y + (6x * 6 + -2y * 6) = 0 -30x + -12y + (36x + -12y) = 0 Reorder the terms: -30x + 36x + -12y + -12y = 0 Combine like terms: -30x + 36x = 6x 6x + -12y + -12y = 0 Combine like terms: -12y + -12y = -24y 6x + -24y = 0 Solving 6x + -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. 6x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 6x + 0 = 0 + 24y 6x = 0 + 24y Remove the zero: 6x = 24y Divide each side by '6'. x = 4y Simplifying x = 4y
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