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Simplifying 5(x + -2y) + -4(2x + y) = 0 (x * 5 + -2y * 5) + -4(2x + y) = 0 (5x + -10y) + -4(2x + y) = 0 5x + -10y + (2x * -4 + y * -4) = 0 5x + -10y + (-8x + -4y) = 0 Reorder the terms: 5x + -8x + -10y + -4y = 0 Combine like terms: 5x + -8x = -3x -3x + -10y + -4y = 0 Combine like terms: -10y + -4y = -14y -3x + -14y = 0 Solving -3x + -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. -3x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 -3x + 0 = 0 + 14y -3x = 0 + 14y Remove the zero: -3x = 14y Divide each side by '-3'. x = -4.666666667y Simplifying x = -4.666666667y
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