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Simplifying 3(x + -1y) + -5(2x + -3y) = 0 (x * 3 + -1y * 3) + -5(2x + -3y) = 0 (3x + -3y) + -5(2x + -3y) = 0 3x + -3y + (2x * -5 + -3y * -5) = 0 3x + -3y + (-10x + 15y) = 0 Reorder the terms: 3x + -10x + -3y + 15y = 0 Combine like terms: 3x + -10x = -7x -7x + -3y + 15y = 0 Combine like terms: -3y + 15y = 12y -7x + 12y = 0 Solving -7x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -7x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -7x + 0 = 0 + -12y -7x = 0 + -12y Remove the zero: -7x = -12y Divide each side by '-7'. x = 1.714285714y Simplifying x = 1.714285714y
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