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Simplifying -4(x + 3y) + 3(2x + -5y) = 0 (x * -4 + 3y * -4) + 3(2x + -5y) = 0 (-4x + -12y) + 3(2x + -5y) = 0 -4x + -12y + (2x * 3 + -5y * 3) = 0 -4x + -12y + (6x + -15y) = 0 Reorder the terms: -4x + 6x + -12y + -15y = 0 Combine like terms: -4x + 6x = 2x 2x + -12y + -15y = 0 Combine like terms: -12y + -15y = -27y 2x + -27y = 0 Solving 2x + -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. 2x + -27y + 27y = 0 + 27y Combine like terms: -27y + 27y = 0 2x + 0 = 0 + 27y 2x = 0 + 27y Remove the zero: 2x = 27y Divide each side by '2'. x = 13.5y Simplifying x = 13.5y
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