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Simplifying -5(x + -2y) + -4(2x + 3y) = 0 (x * -5 + -2y * -5) + -4(2x + 3y) = 0 (-5x + 10y) + -4(2x + 3y) = 0 -5x + 10y + (2x * -4 + 3y * -4) = 0 -5x + 10y + (-8x + -12y) = 0 Reorder the terms: -5x + -8x + 10y + -12y = 0 Combine like terms: -5x + -8x = -13x -13x + 10y + -12y = 0 Combine like terms: 10y + -12y = -2y -13x + -2y = 0 Solving -13x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -13x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -13x + 0 = 0 + 2y -13x = 0 + 2y Remove the zero: -13x = 2y Divide each side by '-13'. x = -0.1538461538y Simplifying x = -0.1538461538y
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