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Simplifying -2(7x + -6y) + 3(2x + 5y) = 0 (7x * -2 + -6y * -2) + 3(2x + 5y) = 0 (-14x + 12y) + 3(2x + 5y) = 0 -14x + 12y + (2x * 3 + 5y * 3) = 0 -14x + 12y + (6x + 15y) = 0 Reorder the terms: -14x + 6x + 12y + 15y = 0 Combine like terms: -14x + 6x = -8x -8x + 12y + 15y = 0 Combine like terms: 12y + 15y = 27y -8x + 27y = 0 Solving -8x + 27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27y' to each side of the equation. -8x + 27y + -27y = 0 + -27y Combine like terms: 27y + -27y = 0 -8x + 0 = 0 + -27y -8x = 0 + -27y Remove the zero: -8x = -27y Divide each side by '-8'. x = 3.375y Simplifying x = 3.375y
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