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Simplifying 2(5x + -6y) + -1(2x + 3y) = 0 (5x * 2 + -6y * 2) + -1(2x + 3y) = 0 (10x + -12y) + -1(2x + 3y) = 0 10x + -12y + (2x * -1 + 3y * -1) = 0 10x + -12y + (-2x + -3y) = 0 Reorder the terms: 10x + -2x + -12y + -3y = 0 Combine like terms: 10x + -2x = 8x 8x + -12y + -3y = 0 Combine like terms: -12y + -3y = -15y 8x + -15y = 0 Solving 8x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 8x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 8x + 0 = 0 + 15y 8x = 0 + 15y Remove the zero: 8x = 15y Divide each side by '8'. x = 1.875y Simplifying x = 1.875y
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