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Simplifying 4(2x + 3y) + -3(x + -1y) = 0 (2x * 4 + 3y * 4) + -3(x + -1y) = 0 (8x + 12y) + -3(x + -1y) = 0 8x + 12y + (x * -3 + -1y * -3) = 0 8x + 12y + (-3x + 3y) = 0 Reorder the terms: 8x + -3x + 12y + 3y = 0 Combine like terms: 8x + -3x = 5x 5x + 12y + 3y = 0 Combine like terms: 12y + 3y = 15y 5x + 15y = 0 Solving 5x + 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. 5x + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 5x + 0 = 0 + -15y 5x = 0 + -15y Remove the zero: 5x = -15y Divide each side by '5'. x = -3y Simplifying x = -3y
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