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Simplifying 3(x + -2y) + -4(x + -5y) = 0 (x * 3 + -2y * 3) + -4(x + -5y) = 0 (3x + -6y) + -4(x + -5y) = 0 3x + -6y + (x * -4 + -5y * -4) = 0 3x + -6y + (-4x + 20y) = 0 Reorder the terms: 3x + -4x + -6y + 20y = 0 Combine like terms: 3x + -4x = -1x -1x + -6y + 20y = 0 Combine like terms: -6y + 20y = 14y -1x + 14y = 0 Solving -1x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -1x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -1x + 0 = 0 + -14y -1x = 0 + -14y Remove the zero: -1x = -14y Divide each side by '-1'. x = 14y Simplifying x = 14y
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